Volume of revolution by the region bounded by the parabolas $y^2=x, y^2=8x, x^2=y, x^2=8y$ about the $x$ axis is $\frac{279\pi}{2}$.
131394
Volume generated by revolving the region in the first quadrant bounded by the parabolas $y^2=x$, $y^2=8x$, $x^2=y$, $x^2=8y$ about the $x$-axis.
15586
Volume of the torus with an integral
73233
Latus rectum of a parametric parabola
79044
Using the residue theorem, calculate $\int_{0}^{2\pi}\frac{1}{1-2a\cos{\theta}+a^2}d\theta$
68164
$(2x^2+3y^2-7)xdx-(3x^2+2y^2-8)ydy=0$
129362
The number of integral points on the hyperbola $x^2 - y^2 = (2000)^2$ is
90246
Area of an ellipse. (Calculus)
769
Find multivariable limit $\frac{x^2y}{x^2+y^3}$
50735
The integral $\int_0^8 \sqrt{x^4+4x^2}\,dx$
30897
$\pi(x)\geqslant\frac{\log x}{2\log2}$ for all $x\geqslant2.$
30246
Find the equation of the tangent plane to the surface $x^{\frac{2}{3}}+y^{\frac{2}{3}}+z^{\frac{2}{3}}=2^{\frac{2}{3}}$ at $(x_0,y_0,z_0)$
144644
Solution of $\frac{dy}{dx}=\frac{1}{xy(x^2 \sin y^2+1)}$
152091
Volume of Revolution. Am I doing it right?
17741
Quick way to solve the system $\displaystyle \left( \frac{3}{2} \right)^{x-y} - \left( \frac{2}{3} \right)^{x-y} = \frac{65}{36}$, $xy-x+y=118$.
87206
Prove that a triangle can be inscribed in the hyperbola $xy=c^2$ whose sides touch the parabola $y^2=4ax$.
157413
Area enclosed between the curves $y=x^2$ and $y=60-7x$
105997
Geometric interpretation of $\frac {\partial^2} {\partial x \partial y} f(x,y)$