7 $\int\frac{1}{(x^2 -8x + 17)^{3/2}}dx$ 6 Solving an integral: $\int \frac{x}{x^3-1}\,\mathrm dx$ 5 Is this proof of the following integrals fine $\int_{0}^{1} \frac{\ln(1+x)}{x} dx$? 5 Find $\int_0^{\sqrt{R^2-1}}g(x)-f(x)\,\mathrm dx$ 4 Evaluate $\int \frac{2-x^3}{(1+x^3)^{3/2}} dx$

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### Questions (5)

 3 Number of integer solutions of the equation $x + y + z = 30$ if $x \geq 2$, $y \geq 0$, $z \geq -3$ 2 Markov Chain: Balance equations for a failing system 2 Markov Chain: Finding average rate of service and fraction of customers serviced 2 Expectation of maximum of K Erlang variables: Am I doing it right? 1 Discrete-time Markov chains: probability of moving from a state to another in $m$ time

### Tags (81)

 69 integration × 37 13 trigonometry × 9 51 calculus × 37 13 trigonometric-integrals × 4 28 indefinite-integrals × 12 10 real-analysis × 5 19 algebra-precalculus × 16 8 discrete-mathematics × 6 16 definite-integrals × 14 7 probability × 5

### Bookmarks (14)

 55 Can I search for factors of $\ (11!)!+11!+1\$ efficiently? 20 A problem posed by Ramanujan involving $\sum e^{-5\pi n^2}$ 8 $\int_0^{1398\pi} ({\sin^2x})^{\cos^2x}dx=?$ 6 Find all real solutions for $x$ in $2(2^x−1)x^2+(2^{x^2}−2)x=2^{x+1}−2$. 6 Solving $\frac{\sqrt{r+1}-\sqrt{r-1}}{\sqrt{r+1}+\sqrt{r-1}}=\log_2\left(|x-2|+|x+2|\right)-\frac{11}{9}$, where $r=\frac{1+x^2}{2x}$