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Integrate the following functions w.r.t...

Integrate the following functions w.r.t. x:
(i) `sin mx`
(ii) `2xsin(x^2+1)`
(iii) `(tan^4sqrt(x)sec^2sqrt(x))/(sqrt(x))`
(iv) `(sin(tan^(-1)x)/(1+x^2))`

Text Solution

Verified by Experts

(i) Given `intsin mxdx`
Let `t=mx`
`dt=mdx=>dx=dt/m`
`:. intsint/mdt`
...
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