Solve the triple integral $\iiint_{K}\left(x^{2}-z^{2}\right) d x d y d z$
9223
Finding $\iiint_K (x^2 -z^2)\, dx\, dy \,dz$
54266
Prove that $\int_a^b \left( \int_c^d f(x,y)dy\right) dx=\int_c^d \left( \int_a^b f(x,y)dx\right) dy$
141852
Prove that $2\int_a^b \int_a^x f(x)f(y) \, dy \, dx = \left[ \int_a^b f(x) \, dx \right]^2$
20299
Is $k=3$ the only solution to $\sum_{r=1}^n r^k =\left( \sum_{r=1}^nr^1 \right)^2 $?
67830
Evalute the definite integral: $\int_{0}^{3} (x^2+1) d[x]$
98757
Solving an integral with substitution method
15569
Integral of the form $\int_0^\infty \exp{\left(-\frac{(a+bx)^2}{x}\right)}\frac{dx}{\sqrt{x^3}}$
43506
Contour integral of $\sqrt{z^2-1}$ on $|z| = 2$
34907
Show that $\int_{0}^{1}\{P(x)\}^{2}\,dx = (n + 1)^{2}\left(\int_{0}^{1}P(x)\,dx\right)^{2}$
67158
Solve $y'-\int_0^xy(t)dt=2$
6571
A Challenging Integral $\int_0^{\frac{\pi}{2}}\log \left( x^2+\log^2(\cos x)\right)dx$
82206
Solving an equation involving an integral
38005
Integral of $\sin (x^3)dx$
66852
Integral $ \int_{-\infty}^{\infty}\frac{x^{2}}{\cosh\left(x\right)}\,{\rm d}x $
44501
Indefinite integral of secant cubed
100711
$\int_{-\infty}^{\infty}e^{-zt^2 + 2wt} \ dt = e^{w^2 / z} \sqrt{\frac{\pi}{z}}$ for $z,w \in \mathbb{C}, Re(z) > 0$
88333
Find all integral solutions of $y^2=x^3+7$