Maths-
General
Easy
Question
Evaluate
dx
- None of these
The correct answer is: ![negative fraction numerator 1 over denominator 4 square root of 3 end fraction t a n to the power of negative 1 end exponent invisible function application left parenthesis square root of x plus 1 end root right parenthesis plus fraction numerator 1 over denominator 4 end fraction l n invisible function application open vertical bar fraction numerator square root of x plus 1 end root minus 1 over denominator square root of x plus 1 end root plus 1 end fraction close vertical bar plus C](data:image/png;base64,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)
Related Questions to study
maths-
If
. The integral of
with respect to
is -
If
. The integral of
with respect to
is -
maths-General
maths-
is
is
maths-General
maths-
dx equals:
dx equals:
maths-General
maths-
If I =
, then I equals:
If I =
, then I equals:
maths-General
maths-
The indefinite integral of
is, for any arbitrary constant -
The indefinite integral of
is, for any arbitrary constant -
maths-General
maths-
If f
= x + 2 then
is equal to
If f
= x + 2 then
is equal to
maths-General
maths-
Let
, then
is equal to:
Let
, then
is equal to:
maths-General
maths-
Statement I : y = f(x) =
, x
R Range of f(x) is [3/4, 1)
Statement II :
.
Statement I : y = f(x) =
, x
R Range of f(x) is [3/4, 1)
Statement II :
.
maths-General
maths-
Statement I : Function f(x) = sinx + {x} is periodic with period ![2 pi](data:image/png;base64,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)
Statement II : sin x and {x} are both periodic with period
and 1 respectively.
Statement I : Function f(x) = sinx + {x} is periodic with period ![2 pi](data:image/png;base64,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)
Statement II : sin x and {x} are both periodic with period
and 1 respectively.
maths-General
maths-
Statement 1 : f : R
R and
is bijective.
Statement 2 :
is bijective.
Statement 1 : f : R
R and
is bijective.
Statement 2 :
is bijective.
maths-General
maths-
Statement I : Graph of y = tan x is symmetrical about origin
Statement II : Graph of
is symmetrical about y-axis
Statement I : Graph of y = tan x is symmetrical about origin
Statement II : Graph of
is symmetrical about y-axis
maths-General
maths-
Statement-
If
Where
is an identity function.
Statement-
R defined by
is an identity function.
Statement-
If
Where
is an identity function.
Statement-
R defined by
is an identity function.
maths-General
Maths-
Assertion (A) :
Graph of ![open curly brackets left parenthesis x comma y right parenthesis divided by y equals 2 to the power of negative x end exponent text and end text x comma y element of R close curly brackets](data:image/png;base64,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)
Reason (R) : In the expression am/n, where a, m, n × J+, m represents the power to which a is be raised, whereas n determines the root to be taken; these two processes may be administered in either order with the same result.
Assertion (A) :
Graph of ![open curly brackets left parenthesis x comma y right parenthesis divided by y equals 2 to the power of negative x end exponent text and end text x comma y element of R close curly brackets](data:image/png;base64,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)
Reason (R) : In the expression am/n, where a, m, n × J+, m represents the power to which a is be raised, whereas n determines the root to be taken; these two processes may be administered in either order with the same result.
Maths-General
maths-
Assertion: The period of
is 1/2.
Reason: The period of x – [x] is 1.
Assertion: The period of
is 1/2.
Reason: The period of x – [x] is 1.
maths-General
Maths-
Assertion : Fundamental period of
.
Reason : If the period of f(x) is
and the period of g(x) is
, then the fundamental period of f(x) + g(x) is the L.C.M. of
and T
Assertion : Fundamental period of
.
Reason : If the period of f(x) is
and the period of g(x) is
, then the fundamental period of f(x) + g(x) is the L.C.M. of
and T
Maths-General