Q. 125.0( 1 Vote )

# Evaluate the inte

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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