e^x x (1+ x) dx equals - NCERT Class XII Mathematics Chapter

NCERT Class XII Mathematics Chapter - - Solutions

Choose the correct answer in Exercises 156 and 157.

Question : 157 of 271

Marks: +1, -0

\int e^x \sec x (1+\tan x) dx

equals

Solution:

\int e^x (\sec x + \sec x \tan x) dx

= \int e^x \left(\sec x + \frac{d}{dx} \sec x\right)

= e^x \sec x + C

\left[\because \int e^x (f(x)+f'(x)) dx = e^x f(x) + C\right]

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