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Indefinite Integrals question

2025 · 23 Jan · Shift 2 · Q42

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JEE Main
Mathematics
Indefinite Integrals
2025 · 23 Jan · Shift 2 · Q42

Indefinite Integrals question

2025 · 23 Jan · Shift 2 · Q42

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

Let

\int x^3 \sin x \mathrm{~d} x=g(x)+C

, where

C

is the constant of integration. If

8\left(g\left(\frac{\pi}{2}\right)+g^{\prime}\left(\frac{\pi}{2}\right)\right)=\alpha \pi^3+\beta \pi^2+\gamma, \alpha, \beta, \gamma \in Z

, then

\alpha+\beta-\gamma

equals :

A
47
B
55
C
62
D
48

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