Q. 235.0( 2 Votes )

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Answer :

Given Definite Integral can be written as:



We will find the value of ∫ tan-1xdx using by parts rule


Let us find the value of ∫ tan-1xdx


∫ tan-1x dx = ∫ 1.tan-1xdx







We substitute this result in the Definite Integral:


We know that:



[here f’(x) is derivative of f(x)).







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