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Integral Calculus

JEE Main level, single correct, medium

4 of 4

Question 4 of 4

The value of $\int_0^{\pi/2} \frac{\sin x}{\sin x + \cos x}\,dx$ is equal to:

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Answer: (A) $\pi/4$

Using King's property:

2I = \int_0^{\pi/2} 1\,dx = \pi/2 \implies I = \pi/4

JEE Main question paper PDF

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JEE Main 2025 Apr 2 Shift 1 question paper

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JEE Main Mathematics practice question on Integral Calculus, with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.

The value of ∫0π/2sin⁡xsin⁡x+cos⁡x dx\int_0^{\pi/2} \frac{\sin x}{\sin x + \cos x}\,dx∫0π/2​sinx+cosxsinx​dx is equal to:

JEE Main question paper PDF

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The value of $\int_0^{\pi/2} \frac{\sin x}{\sin x + \cos x}\,dx$ is equal to: