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### Questions (49)

 10 How to solve this limit: $\lim_{x\to\infty}\sqrt{x+\sqrt{x}}-\sqrt{x-1}$ [duplicate] 7 Double Integral $\int\limits_0^a\int\limits_0^a\frac{dx\,dy}{(x^2+y^2+a^2)^\frac32}$ 7 how to compute this limit 6 Computing a derivative from a function that involves an integral 5 Closed form of $\int_{0}^{1}\frac{dx}{(x^2+a^2)\sqrt{x^2+b^2}}$

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 8 What is the limit of $\lim\limits_{x→∞}\frac{\sin x}{x}$ 5 Why is $\pi$ a solution to $\tan^2x \cos{x}=\tan^2x$? 5 How to integrate $1/\sqrt{(1+x^2)^3}$? 5 Find $\lim_{x\to 0} \frac{\arcsin x}{x}$ 4 How would I prove $\frac{1}z=\operatorname{cis}(-\theta)$ given $z=\operatorname{cis}(\theta)$?

### Tags (69)

 29 calculus × 37 7 derivatives × 8 22 integration × 18 7 indefinite-integrals × 5 21 trigonometry × 9 7 polar-coordinates × 2 16 limits × 12 5 complex-numbers × 6 11 algebra-precalculus × 7 5 radicals × 4

### Bookmarks (903)

 1403 Visually stunning math concepts which are easy to explain 923 Can I use my powers for good? [closed] 346 Zero to the zero power – is $0^0=1$? 161 Why is $1^{\infty}$ considered to be an indeterminate form 107 In calculus, which questions can the naive ask that the learned cannot answer?