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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy
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Analyzing +4 | -1
The value of ∫−223x21+exdx\int\limits_{{-2}}^2 \frac{3 x^2}{1+e^x} d x, is
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Correct option: A
8
Option A (8) is correct because the integral simplifies to ∫023x2dx\int_0^2 3x^2 dx using the property ∫−aaf(x)dx=∫0a(f(x)+f(−x))dx\int_{-a}^a f(x) dx = \int_0^a (f(x) + f(-x)) dx.

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