Top network posts

• 21 Evaluate $\int_{-1}^{1} \exp(x+e^{x})\,dx$
• 21 How to prove that $\int_{0}^{\infty}\sin{x}\arctan{\frac{1}{x}}\,\mathrm dx=\frac{\pi }{2} \big(\frac{e-1}e\big)$
• 19 Probability that Ken and John set next to each other
• 16 Evaluate $\int \frac{\mathrm dx}{1+\cos^2 x}$
• 14 Let a,b $\in$ $\mathbb{R}.$ Show that $a^4+b^4+8\ge 8ab.$
• 13 Evaluating $\int_{0}^{2}\sqrt{x^3+1} dx+\int_{1}^{3}\sqrt[3]{x^2-1}dx$ without computation?
• 13 Finding $\int_0^{\frac{\pi}{2}}\arctan\left(\sin x\right)dx$
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