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Definite Integration question

2024 · 31 Jan · Shift 2 · Q40

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PYQ Library
JEE Main
Mathematics
Definite Integration
2024 · 31 Jan · Shift 2 · Q40

Definite Integration question

2024 · 31 Jan · Shift 2 · Q40

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

Let

f, g:(0, \infty) \rightarrow \mathbb{R}

be two functions defined by

f(x)=\int\limits_{-x}^x\left(|t|-t^2\right) e^{-t^2} d t

and

g(x)=\int\limits_0^{x^2} t^{1 / 2} e^{-t} d t

. Then, the value of

9\left(f\left(\sqrt{\log _e 9}\right)+g\left(\sqrt{\log _e 9}\right)\right)

is equal to :

A
10
B
9
C
8
D
6

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