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Definite Integration question

2025 · 2 Apr · Shift 2 · Q40

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PYQ Library
JEE Main
Mathematics
Definite Integration
2025 · 2 Apr · Shift 2 · Q40

Definite Integration question

2025 · 2 Apr · Shift 2 · Q40

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

Let

(a, b)

be the point of intersection of the curve

x^2=2 y

and the straight line

y-2 x-6=0

in the second quadrant. Then the integral

\mathrm{I}=\int_{\mathrm{a}}^{\mathrm{b}} \frac{9 x^2}{1+5^x} \mathrm{~d} x

is equal to :

A
27
B
18
C
24
D
21

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