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The value int^(2)(-2) {p" In"((1+x)/(1...

The value
`int^(2)_(-2) {p" In"((1+x)/(1-x))+q" In "((1-x)/(1+x))-2+r}dx` depends on the value of

A

p

B

q

C

r

D

p and q

Text Solution

Verified by Experts

The correct Answer is:
C

`overset(2)underset(-2)int {p" In"((1+x)/(1-x))+q" In "((1-x)/(1+x))-2+r}dx`
`rArr I=poverset(2)underset(-2)int "In"((1+x)/(1-x))dx-2qoverset(2)underset(-2)int "In"((1-x)/(1+x))dx+overset(2)underset(-2)int' r dx`
`rArr I=pxx0-2qxx0+4r=4r[:'"In"((1+x)/(1-x))"and In"((1-x)/(1+x))"are odd functions"]`
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OBJECTIVE RD SHARMA-DEFINITE INTEGRALS-Section I - Solved Mcqs
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