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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy
1 of 1
Application +4 | -1
The integral ∫π/43π/411+cos⁡xdx\int\limits_{{\pi / 4}}^{3 \pi / 4} \frac{1}{1+\cos x} d x, is equal to
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Correct option: D
2
Option D (2) is correct because by using the property ∫abf(x)dx=∫abf(a+b−x)dx\int_a^b f(x) dx = \int_a^b f(a+b-x) dx and trigonometric identities, the integral simplifies to 2.

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