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I need assistance in integrating $ \frac{x \sin x}{1+(\cos x)^2}$
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How to approach solving $\int_0^{\pi/2} \ln(a^2 \cos^2 x +b^2 \sin^2 x ) dx$
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Calculating $\int_{-\infty}^{\infty}\frac{\sin(ax)}{x}\, dx$ using complex analysis
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Integral of $\sin x \cos x$ using two methods differs by a constant?
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Find the sign of $\int_{0}^{2 \pi}\frac{\sin x}{x} dx$
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Calculating $\int_0^\infty \frac {\sin^2x}{x^2}dx$ using the Residue Theorem.
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To evaluate $\int_{0}^\pi \frac {\sin^2 x}{a^2-2ab \cos x + b^2}\mathrm dx$?
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Integrate : $\int \frac{x^2}{(x\cos x -\sin x)(x\sin x +\cos x)}dx$
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Evaluating the integral $\int_{-\infty}^\infty \frac{\sin^2(x)}{x^2}e^{i t x} dx$
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How to integrate $\int\sqrt{x^2+1}dx$
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Indefinite Integral of $\sqrt{\sin x}$