$integral subscript 0 superscript 1 fraction numerator 1 over denominator square root of 2 plus 3 x end root end fraction d x equals$

Maths-

$integral subscript pi divided by 4 end subscript superscript pi divided by 2 end superscript cot invisible function application x d x equals$

So here we used the concept of integrals of special functions and simplified it. We can also solve it manually but it will take lot of time to come to final answer hence we used the special case and the formula of that. The integral of the given function is $integral subscript pi divided by 4 end subscript superscript pi divided by 2 end superscript cot invisible function application x d x equals 1 half ln left parenthesis 2 right parenthesis$ .

$integral subscript pi divided by 4 end subscript superscript pi divided by 2 end superscript cot invisible function application x d x equals$

So here we used the concept of integrals of special functions and simplified it. We can also solve it manually but it will take lot of time to come to final answer hence we used the special case and the formula of that. The integral of the given function is $integral subscript pi divided by 4 end subscript superscript pi divided by 2 end superscript cot invisible function application x d x equals 1 half ln left parenthesis 2 right parenthesis$ .

Maths-

$integral subscript 0 superscript 1 open parentheses 1 plus e to the power of negative x end exponent close parentheses d x equals$

= $integral subscript 0 superscript 1 left parenthesis 1 plus e to the power of negative x end exponent right parenthesis d x$
>>>Integration of 1 becomes x and integration of e-x becomes -e-x.
>>> = $left parenthesis 1 minus 1 over e plus 1 right parenthesis$
= (2- $1 over e$ )

$integral subscript 0 superscript 1 open parentheses 1 plus e to the power of negative x end exponent close parentheses d x equals$

Maths-

$integral subscript 0 superscript pi cos invisible function application 3 x d x$

So here we used the concept of integrals of special functions and simplified it. We can also solve it manually but it will take lot of time to come to the final answer hence we will use trigonometric formulas. The integral of the given function is $integral subscript 0 superscript straight pi cos invisible function application 3 xdx equals 0$

$integral subscript 0 superscript pi cos invisible function application 3 x d x$

What is X in the nuclear reaction $scriptbase N end scriptbase presubscript 7 end presubscript presuperscript 14 end presuperscript plus subscript 1 end subscript superscript 1 end superscript H rightwards arrow scriptbase O end scriptbase presubscript 8 end presubscript presuperscript 15 end presuperscript plus X ?$

Which of the following pairs is / are correctly matched?

Select the correct answer using the codes given below:

The following kinetic data are provided for a reaction between A and B:

The value of the rate constant for the above reaction is equal to

The following data are for the decomposition of ammonium nitrite in aqueous solution

The order of the reaction is

1-Chlorobutane on reaction with alcoholic potash gives

Chlorination of toluene in the presence of light and heat followed by treatment with aqueous NaOH gives

The potential energy diagram for a reaction R → P is given below:

$increment H to the power of 0 end exponent$ of the reaction corresponds to the energy

The above transformation proceeds through