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Indefinite Integrals question

2020 · 5 Sep · Shift 1 · Q24

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PYQ Library
JEE Main
Mathematics
Indefinite Integrals
2020 · 5 Sep · Shift 1 · Q24

Indefinite Integrals question

2020 · 5 Sep · Shift 1 · Q24

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

If

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

=

g\left( x \right){e^{\left( {{e^x} + {e^{ - x}}} \right)}} + c

where c is a constant of integration, then g(0) is equal to :

A
1
B
2
C
e
D
e2

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