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int e^(tan theta)(sec theta- sin theta) ...

`int e^(tan theta)(sec theta- sin theta) d theta` is equal to: (A) `-e^(tantheta) sintheta+c` (B) `e^(tantheta) sintheta+c` (C) `-e^(tantheta) sectheta+c` (D) `e^(tantheta) costheta+c`

Text Solution

Verified by Experts

`e^(tantheta)sintheta=e^tantheta sec^2thetasintheta+e^tantheta*costheta`
`e^tantheta*costheta=e^tantheta sec^2theta*costheta-e^tantheta*sintheta`
`=e^tantheta(sectheta-sinntheta)`.
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