JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int {\left( {{e^{2x}} + 2{e^x} - {e^{ - x}} - 1} \right)} \,{e^{({e^x} + {e^{ - x}})}}dx = g\left( x \right){e^{\left( {{e^x} + {e^{ - x}}} \right)}} + c,

where

c

is a constant of integration, then

g\left( 0 \right)

is equal to

View answer and explanation

Correct option: A

Option A (2) is correct because after solving the integral and substituting x=0 into the resulting function g(x), we obtain the value 2.

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