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find ∫42 x/(x2+1) dx - CBSE (Science) Class 12 - Mathematics

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Question

 

find `∫_2^4 x/(x^2 + 1)dx`

 

Solution

`∫_2^4 x/(x^2 + 1)dx`

`Put x^2+1=t`

`2xdx=dt`


Now, 
`1/2∫_5^17 1/tdt`

`⇒1/2log t_5^17`

`⇒1/2(log 17−log 5)`

`⇒1/2log (17/5)`

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Solution find ∫42 x/(x2+1) dx Concept: Evaluation of Definite Integrals by Substitution.
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