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(i) int sin mx dx (ii) int 2x sin (x^2...

(i) `int sin mx dx`
(ii) `int 2x sin (x^2+1) dx` (iii) `int x sqrt(1+2x^2) dx.`

Text Solution

Verified by Experts

The correct Answer is:
`tan^-1 a/b`
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Knowledge Check

  • int sqrt(1+sin 2x)dx=

    A
    `sinx+cosx+c AA x in R`
    B
    `sinx-cos x+cAA x in R`
    C
    `sin x-cosx+c, x in [(-pi)/(4),(3pi)/(4)]`
    D
    `cosx-sinx+c, x in [(3pi)/(4),(7pi)/(4)]`

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