Maths-
General
Easy
Question
The area bounded by
and
-axis is
sq unit
sq unit
sq unit
Hint:
In this question we have to
and the line is
. We have to find the area bounded inside the point of intersection of these two curves and above the x-axis. We have to use ILATE to integrate
here
. After integrating we put the limit ![x equals 0 space t o space x equals fraction numerator 1 over denominator square root of 2 end fraction](data:image/png;base64,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)
The correct answer is:
sq unit
![Green Curve y= arcsin(x) , Red line x=1/sqrt. 2](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/generalfeedback/654928/1/1187373/graph.png)
In This figure the green curve is
and the red line is ![x equals fraction numerator 1 over denominator square root of 2 end fraction](data:image/png;base64,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)
We have to find the area bounded inside the point of intersection of these two curves and above the x-axis
The point of intersection is ![open parentheses fraction numerator 1 over denominator square root of 2 end fraction comma straight pi over 4 close parentheses](data:image/png;base64,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)
The area will be equal to ![integral subscript 0 superscript fraction numerator 1 over denominator square root of 2 end fraction end superscript sin to the power of negative 1 end exponent open parentheses x close parentheses d x](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIAAAAAwCAYAAADZ9HK+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAhjE2CwAAABBJJREFUeNrtWk1IVFEUvohIREgySkSIICERIUKLkAgJIiQGcRMhFGGKRIi0CKqFi2gjLVxFG4kIF0JEiYgJIYOISCAhESGBbSLCTYhFyDDwOof5pNd075u5773RN3PPBx/4Zrznzj33vPN3r1L7gzbiKHFNCZzEJHGI6Ikq3IYYgBiAQAxAIAYgEAMQiAEIXNr4QgoEAoEg0WggPiVuErPEl8QaUYs7mCd+JbYSR4jfiOkisT0uCvYZaWzEdWIz/l4mpkQ1bmAZbr8Wz+L6HUI93vhMDLIOE5fE9VcWerEZEzHIukp8IyqtLDyAAfTHIOs1cbBK9OLMxZYXMIB0DO7/J7FRUzlkkWccryC9OHOxZQ2LPFFG989J5S3i+wrUT5AB8JrGLOWNYVxisEPMxZD5l+L+d6rIANqJKxGqrvYkLO4QFrgVYlwx91+ILuJimd/IUsbaViRewCZ2hPwdp1Et7cWaA3ERwuctxlzAmHaL7P8oFNa6zwYQ13wdWE8ULMEQ9nXNlyF8ymLMPeIH4pcS3T9n07MwgkqETvmPiMMR5Y5Y5A9lM4CbEP4kxNjfxNtF3D9v+pzKN5tKAXuIDGSbXLNneGZj3kCewaGmuYwGwB7znObzAcOmPsR3fnQSFwyhcg2V0wbKcy/iXEZMqL9nALYYxEbdCHD/c5bVxSqxx3JDPGw+v5Ut+Kw/hnwjKE/YJtYZxnGlc8T3zL/lseb/6iDHD9bVJ+IpPJ9U+VNZL+JcRkxBeG9IJa1j/GAIJZq8SkMIAzivKTuzZQwLuYDvuonjvnxpIeB/C38jH8f3WYQAm7mMb6iHwWHQhvGNMSm2F8lVn6UB7HWymCvy/VufK09ZGMB34gHLtZQ6lxZbEF4fQRndZShNJ+AK2xJqAEEhQCE3yhap9XUhIBdiLaXMpUUNJsypZOK+0ncOk2AA/NadNXx3FnF7vIgn0yWBO0rfkPMizqVFCoI3E2oApjieBAMwlYFcxcwQD8KTrQa45WHI8SOjMayUYS02cxldtwchScSA0t9RSIIB6BpBTcip/JvAB2yTFo2gM/Aux/ACpDGPF3EuLa5A8POENV08hKU5Q/MoCQbAWPHFXY7nr7BxukqrME8KagVz3jONcLDbbvYKcgebuYzYvQdwRwnCoOIPg6L2AAT5TqrtcTDH/aEk/PgMDKBF9tFNcIz5JWpwE7sdvClRhTvgfnmXrwZlA+gRtbiBUWz4LOrLj0p/25VryXUwLWqrHvAZ8TviNdSY25oyhFuTi2gupJAkdorqqgO1MIJnxLtKfzVr2hciGHzhYUZU5w621b8HETXq/9MqQRVD1zrNilrc9QC14gHcQmEO0IWqQeAIOpH58528JlQEl0QtboFr/8/EHyp/b11QwfgDKYdLSGlinN8AAAEKdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdWJzdXA+PG1vPiYjeDIyMkI7PC9tbz48bW4+MDwvbW4+PG1mcmFjPjxtbj4xPC9tbj48bXNxcnQ+PG1uPjI8L21uPjwvbXNxcnQ+PC9tZnJhYz48L21zdWJzdXA+PG1zdXA+PG1pPnNpbjwvbWk+PG1yb3c+PG1vPi08L21vPjxtbj4xPC9tbj48L21yb3c+PC9tc3VwPjxtZmVuY2VkPjxtaT54PC9taT48L21mZW5jZWQ+PG1vPmQ8L21vPjxtaT54PC9taT48L21hdGg+naESYwAAAABJRU5ErkJggg==)
We know that for integration of
we will use ILATE rule
let ![u equals 1 comma space v space equals space sin to the power of negative 1 end exponent open parentheses x close parentheses](data:image/png;base64,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)
![I equals space u cross times integral v d x space minus space integral open parentheses fraction numerator d u over denominator d x end fraction cross times integral v d x close parentheses d x](data:image/png;base64,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)
By substituting the values of
in the above equation we get
![I space equals space x sin to the power of negative 1 end exponent open parentheses x close parentheses minus integral fraction numerator x over denominator square root of 1 minus x squared end root end fraction d x](data:image/png;base64,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)
Let ![1 minus x squared equals t squared](data:image/png;base64,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)
=> By differentiating both sides we get,
=> ![negative x d x equals t d t](data:image/png;base64,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)
=> ![I space equals space x sin to the power of negative 1 end exponent open parentheses x close parentheses minus integral t over t d t](data:image/png;base64,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)
=> ![I space equals space x sin to the power of negative 1 end exponent open parentheses x close parentheses minus t](data:image/png;base64,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)
=>
where c is the constant of Integration.
By putting the limits we get
=>![I space equals open square brackets space x sin to the power of negative 1 end exponent open parentheses x close parentheses minus square root of 1 minus x squared end root space plus c close square brackets subscript 0 superscript fraction numerator 1 over denominator square root of 2 end fraction end superscript](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPsAAAAoCAYAAAA42IwnAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAhjE2CwAAABOlJREFUeNrtnF2ITVEUx3e32yRNImQkkSRPk5rkY0wSD5LkxcOUh8EkaZIHhSJqkmkUJW+UBw9KQgglMU2TB5LIR4o3UYoahRgda3XXrevOOffufc7Z++xz7v9Xq2bu3LPn7HXWf++11973KgUAyBtLyI6SPYcrACg2l8h2kwVwBQCtAcQOAMQOAIDYAQAQOwAAYgcAQOwAAJsirzcAAAAAAMcpCADQQIE7CgCYrIfAokHsQJsploPRtWHyQ+dABBvJnsAN0AM6V3zOkJ2EGzLXw3Sy0bxkMBB7PnlDthJuyFwP28nuYmb3gyJ+scBCsm9k5RzFGNtvsjGyxQXSw3WyfojdD4r4xQIDZJdzeN8lsr1kzwqiB07hv5PNysvA1ippfKN+cgAOGbY3JNdlwS2yvhw/i18FEXujFN7Lga3Vxd5J9jhmm2NyvUvKMpt05PQ5rCUbKYjYdVJ4o4Hth4wSRRN7kPBa02pn0ECwy2LeR5eqVGJdorPl5mudYq74e1EOxd6ukcInGtg4339R0Jk98OD/LZPgS8KoiN4Vp8gGc1in4AHotgg+bxngBnm9UzOFjzWwbVX2CzGtnMYPq0qxKwn7Yqz3k8Bbbmty9mw58O+QTctB3Ia1e0gm3Q+aKXysge0Y2UGPxL4rIrAH5W9VeDR7KEuQqPQ6iPh9G9l7WetwCjTfYj/vkfUk6CeziuyBI9EsVGZbbrbFrusnFvrSjCepdhncP6pKpfwa2QzDdjme9zdJ4WMPbFdkdk+6jm20njV1GlcX59T8voPsXN17npJtMXxYgQidH8iCmrZHUgiKKD+Mk7Ul6KeS68ctCCkskPYYZnouZnYdP9k4SRYYCp3v84SIkJ/ZAbLNhu32i+B3NkjhYw9s78jmeZbGc4HodM1a5kHECDgjhtjX1b1WklHYFhMJ+1klzXvkOs1F8cfyur+Zbrm5ELuJn7KKW84+zqbU7lt5T3+MySWSkohGeSZ25r6qVBq52jszotbAxYleQ7G7DtiJhP1sJvY42dYREftnWWZUmSIpfEfKzzaN89y6fko7Q9O5T9bRF43JR9dnS+Q9s9Ls3ApZ99p2Rhwx7ZcA72ySOp0ney0O8lHsjdJ43X7aSuP5f/8UkVdnzZeeFLHi+CmrSYqzo9GU292Ydmd6ZYT3bWbvJrsqqVuvxvsPq/BTRD6I/b70J0k/bRbo/tSki7zldtxDsZvGg+u43aQqxTjfBsj/4DXGbs/EzlX2m2RTZeZ+qpG2Ra27fRB71NabST8HpB0bPCJ7JT/H+ZSb7cCNEw+u47ZL1tlei/2ajEq+OG22qlQaax8mVzMvNbluV8RyxAexhx2qMe2nzUM168n+kq0m+6TMP+Vm03dx4yGLSYprCSfEf9Nk2dGt2e5mGSzeqvDqfSp8rVmvZe20Nhl8wnYGLoesYao1ggkJiLmeip15XLPWNO2ni+Oy3yTQTLfcbH5pgqmfsobPaoxIPL5Qk89KRMXbKrlupthDeS23tPqXV/j+QZgL8oz6FHCthxuqsstQpUeWLRB7juHDKqZHXocd1VTmKAtbPUBLD7zLUvshtJKys/PitHP43nj/ByPgXgNhevgNdwGblOGCTKif2ct5n9kBAOHUr9n559twCwDFgyvvXIHno7a81ciV+U1wCwDFhPfW+QNpvBW+L82G/wGK7QHlUVFgogAAAcV0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+STwvbWk+PG1vPiYjeEEwOzwvbW8+PG1vPj08L21vPjxtc3Vic3VwPjxtZmVuY2VkIGNsb3NlPSJdIiBvcGVuPSJbIj48bXJvdz48bW8+JiN4QTA7PC9tbz48bWk+eDwvbWk+PG1zdXA+PG1pPnNpbjwvbWk+PG1yb3c+PG1vPi08L21vPjxtbj4xPC9tbj48L21yb3c+PC9tc3VwPjxtZmVuY2VkPjxtaT54PC9taT48L21mZW5jZWQ+PG1vPi08L21vPjxtc3FydD48bW4+MTwvbW4+PG1vPi08L21vPjxtc3VwPjxtaT54PC9taT48bW4+MjwvbW4+PC9tc3VwPjwvbXNxcnQ+PG1vPiYjeEEwOzwvbW8+PG1vPis8L21vPjxtaT5jPC9taT48L21yb3c+PC9tZmVuY2VkPjxtbj4wPC9tbj48bWZyYWM+PG1uPjE8L21uPjxtc3FydD48bW4+MjwvbW4+PC9tc3FydD48L21mcmFjPjwvbXN1YnN1cD48L21hdGg+hBYdLgAAAABJRU5ErkJggg==)
=>![open parentheses fraction numerator straight pi over denominator 4 square root of 2 end fraction plus fraction numerator 1 over denominator square root of 2 end fraction minus 1 close parentheses s q. space u n i t](data:image/png;base64,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)
Related Questions to study
Maths-
Simplify : 2m-3 =17
Simplify : 2m-3 =17
Maths-General
Maths-
What is the valume of a triangular prism of height 16cm, base 12cm and length 10cm.
What is the valume of a triangular prism of height 16cm, base 12cm and length 10cm.
Maths-General
Maths-
find the value of m in ![fraction numerator 9 over denominator text m end text end fraction equals 3](data:image/png;base64,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)
find the value of m in ![fraction numerator 9 over denominator text m end text end fraction equals 3](data:image/png;base64,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)
Maths-General
Maths-
Solve 1.2 × 3.1
Solve 1.2 × 3.1
Maths-General
Maths-
simplify ![equals fraction numerator a squared cross times 3 to the power of 4 over denominator a 3 squared end fraction](data:image/png;base64,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)
simplify ![equals fraction numerator a squared cross times 3 to the power of 4 over denominator a 3 squared end fraction](data:image/png;base64,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)
Maths-General
Maths-
What is the mutliplicative inverse of -4/3
We just need to find the reciprocal of the given number to find a multiplicative inverse.
What is the mutliplicative inverse of -4/3
Maths-General
We just need to find the reciprocal of the given number to find a multiplicative inverse.
Maths-
Represent
in powers of prime numbers
Represent
in powers of prime numbers
Maths-General
Maths-
John wants to decorate a cake box of dimension 10 cm × 12 cm × 6 cm. He will hot paint the base and lop. Find the area he will decorate.
John wants to decorate a cake box of dimension 10 cm × 12 cm × 6 cm. He will hot paint the base and lop. Find the area he will decorate.
Maths-General
Maths-
What is prime factorization of 900
What is prime factorization of 900
Maths-General
Maths-
what is
of 1080
what is
of 1080
Maths-General
Maths-
Which of the fallowing correctly Notted
We have to check the distance of the point from y-axis for x coordinate. And, we have to check the distance of the point from x-axis for y coordinate.
Which of the fallowing correctly Notted
Maths-General
We have to check the distance of the point from y-axis for x coordinate. And, we have to check the distance of the point from x-axis for y coordinate.
Maths-
what is one-eight of 9.6
what is one-eight of 9.6
Maths-General
Maths-
divide 1984 by 16
divide 1984 by 16
Maths-General
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divide 3.6 by 1.2
divide 3.6 by 1.2
Maths-General
Maths-
convert 45°C into Fahrenheit
convert 45°C into Fahrenheit
Maths-General