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Choose the correct answerinte^xsecx(1+ta...

Choose the correct answer`inte^xsecx(1+tanx)dx`

A

(A) `e^xcosx+C`

B

(B) `e^xsecx+C`

C

(C) `e^xsinx+C`

D

(D) `e^xtanx+C`

Text Solution

Verified by Experts

The correct Answer is:
(B) `e^xsecx+C`
We know that

`inte^x (f(x)+f'(x))=e^xf(x)+C`

`=inte^xsecx(1+tanx)dx`

`=inte^x(secx+secx tanx)dx`

`=e^xsecxdx+C`

Hence, correct option is (B)
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