Calculate integral $\int_{-1}^{1} (1-x^2)^n dx $
33492
Determine the recurrence formula
17454
Evaluate the integral $\int_0^n \frac{f(x)}{f(x) + f(n-x)}dx $
68639
given $I_{n}=\int^1_{0}x^n\sqrt{1-x^2}dx$, then finding value of $ \frac{I_{n}}{I_{n-2}}$
50471
Evaluate $\int\frac1{1+x^n}dx$ for $n\in\mathbb R$
29680
How to determine $\int x^2 e^{-x^2}\mathrm dx$?
12537
How to Integrate this function $\int(1-x^2)^ndx$
117624
Compute the integral $\int_{A} x^m y^n z^p (1-x-y-z)^q dx dy dz$
141387
Reduction Integration of $I_n=\int{\frac{x^n}{\sqrt{x^2+a^2}} dx}$
101587
Calculating $\int_{- \infty}^{\infty} \frac{\sin x \,dx}{x+i} $
117587
$\int_{0}^{1}\frac{\sin^{-1}\sqrt x}{x^2-x+1}dx$
80319
Integrate: $\int (x^2+a^2)^{-3/2} \cdot dx$
71611
Evaluating $\int\sqrt{\frac{1-x^2}{1+x^2}}\mathrm dx$
99033
How to solve the definite integral $\int_{-4}^{-2}e^{-x}\,dx$?
82311
Computing the primitive $\int\frac{1}{1+x^n} dx$
140386
Integrate $\int {\dfrac{x^2+\left(n-1\right)n}{\left(x\sin x+n\cos x\right)^2}}dx $
88708
An integration of product $(1-x^n)$
9518
Evaluate: $ \int_0^1 \int_y^1 e^{x^2 }dxdy$