Q. 215.0( 1 Vote )

# Evaluate the following integrals:

Answer :

We can write it as

Now let x^{2} = t

2xdx = dt

Xdx = dt/2

Now

Using BY PART METHOD. Using the superiority list as ILATE (Inverse Logarithm Algebra Trigonometric Exponential). Taking the first function to the one which comes first in the list.

Here t is the first function and cost as the second function.

Replacing t with x^{2}

=

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