### Questions (39)

 11 How can I calculate the number of perfect cubes among the first $4000$ positive integers? 7 What is the value of following integral: $\int_{1/2014}^{2014}\frac{\tan^{-1}x} x \, dx$? 4 Convergence of series $(\frac{1}{3})^{2}+(\frac{1.2}{3.5})^{2}+(\frac{1.2.3}{3.5.7})^{2}+…$ 4 Is the series convergent $x + x^{1+\frac{1}{2}}+x^{1+\frac{1}{2}+ \frac{1}{3}}+\cdots$ 3 Check the convergence of the series $\sum\left (1+\frac{1}{\sqrt n}\right)^{-n^{3/2}}$

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 4 Find the real and imaginary parts of $ln(z)$ 3 Conditional probability basic question 3 I have this trigonometric expression to prove 2 Evaluating the integral of $\sqrt {x^3}$ 2 Finding the maximum value of $f(x)=x+\sin x$ on $[0,4]$

### Tags (52)

 8 calculus × 14 3 statistics 6 integration × 10 3 probability 6 algebra-precalculus × 3 3 trigonometry 4 sequences-and-series × 12 2 geometry × 4 4 complex-numbers × 2 2 derivatives × 2

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