Q. 125.0( 1 Vote )

Evaluate the inte

Answer :

Key points to solve the problem:


• Such problems require the use of method of substitution along with method of integration by parts. By method of integration by parts if we have


• To solve the integrals of the form: after applying substitution and integration by parts we have direct formulae as described below:





Let, I = =


Let, x2 = t


Differentiating both sides:


2x dx = dt x dx = 1/2 dt


Substituting x2 with t, we have:


We have:


I =


As I match with the form:



I =


I =


Putting the value of t back:


I =


I =


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