Evaluate \inte^x(\frac{1+\sin x\cos x}{\cos^2x})dx

NIMCET 2020 Question Paper with solutions

Question : 26 of 120

Marks: +1, -0

Evaluate

∫e^x({1+\sin x\cos x}/{\cos^2x})dx

Solution:

∫e^x(\sec^2x+\tan x)dx=e^x\tan x+c\;\;(∫e^x(f(x)+f'(x)dx=e^{}^xf(x)+c)

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