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 Evaluation of $\int\frac{1}{(\sin x+a\sec x)^2}dx$

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### Questions (5)

 2 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 (79)

 68 integration × 36 13 trigonometric-integrals × 4 50 calculus × 36 12 trigonometry × 9 26 indefinite-integrals × 11 10 real-analysis × 5 18 algebra-precalculus × 15 7 probability × 5 16 definite-integrals × 14 7 number-theory × 2

### Bookmarks (15)

 56 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 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 $r=\frac{1+x^2}{2x}$ 5 Find all real solutions for $x$ in $2(2^x−1)x^2+(2^{x^2}−2)x=2^{x+1}−2$.