Evaluating $\int{ \frac{x^n}{1 + x + \frac{x^2}{2} + \cdots + \frac{x^n}{n!}}}dx$ using Pascal inversion
101351
Calculate $\int \limits {x^n \over 1+x+\frac{x^2}{2!}+\frac{x^3}{3!}+...+\frac{x^n}{n!}} dx$ where $n$ is a positive integer.
39629
Indefinite integration of $\int \frac{1}{1+\sqrt{x^2+2x+2}}dx$
120388
Evaluate $\int\frac{1}{1+x^6} \,dx$
112374
Evaluate $ \binom{n}{0}+\binom{n}{2}+\binom{n}{4}+\cdots+\binom{n}{2k}+\cdots$
88368
Evaluating $\int_0^1 \sqrt{1 + x ^4 } \, d x $
22505
Evaluate : $1+\frac{2}{6}+\frac{2\cdot 5}{6\cdot 12}+\frac{2\cdot 5\cdot 8}{6\cdot12\cdot 18}+\ldots$
27002
Evaluating $\int\limits_0^{\pi} \frac{dx}{1+2\sin^2x}$
147479
Evaluate $\int \frac{2-3x}{2+3x}\sqrt\frac{1+x}{1-x}dx$
31964
Evaluating $\int_0^{\infty}\frac{\ln(x^2+1)}{x^2+1}dx$
137625
Need a hint to evaluate the indefinite integral $\int\frac{e^x(2-x^2)}{(1-x)\sqrt{1-x^2}}dx$?
145403
Stuck in integration: $\int {\frac{dx}{( 1+\sqrt {x})\sqrt{(x-{x}^2)}}}$
6014
Evaluating $\int_{-\infty}^{\infty}\frac{\exp\left(-a x^2\right)}{x^2+b^2}dx$
111956
Evaluating indefinite integrals of the form $\int \frac{x^2 \,dx}{a x^5 + b}$
58633
Proof of the formula $1+x+x^2+x^3+ \cdots +x^n =\frac{x^{n+1}-1}{x-1}$
150809
Compute $ \int_0^1\frac{\ln^2(1+x)}{1+x^2}\, dx$
74955
Simplify result of $\int_0^{\infty} \frac{1}{1+x^n}dx$
100401
Evaluate $\int \frac{1}{(x^2+1)^2}dx$