Integrals

JEE Main · Mathematics · 16 past questions

These are the board's own papers. 330 more board questions reprinted in the books we use in class are for signed-in students: sign in.

4 of 16 · show all

1. Q3 2026 2 Apr Shift 2

   The value of $\int_0^{20\pi}(\sin^4 x+\cos^4 x)\,dx$ is equal to…

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2. Q9 2026 5 Apr Shift 1

   The value of the integral $\int_0^\infty \frac{\log_e(x)}{x^2+4}\,dx$ is…

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3. Q12 2026 6 Apr Shift 1

   The value of the integral $\int_{-\pi/4}^{\pi/4}\left(\frac{32\cos^4 x}{1+e^{\sin x}}\right)dx$ is…

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4. Q13 2026 6 Apr Shift 2

   The value of the integral $\int_{-1}^{1} \left(\frac{x^3 + |x| + 1}{x^2 + 2|x| + 1}\right) dx$ is equal to…

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