Calculus 2

$\displaystyle \int sin^2x\, dx$

Determine the volume of the solid generated by rotating the function about the x-axis on $[0,3]$

$y = \sqrt{9 - x^2}$

Evaluate $\int x \, sin(x) \, dx$

$\displaystyle \int sin^3x \, cos^4x ,\ dx$

Evaluate $\int x^4 \, ln \, 3x \, dx$

$\displaystyle \int cos^3x \, dx$

Determine the volume of the solid generated by rotating the function about the y-axis on $[0,4]$

$y = \sqrt{x}$

Evaluate $\displaystyle \int \frac{5x}{e^{2x}} \, dx$

Use the shell method to determine the volume formed by the bounded region rotated about the x-axis.

$y = x^2$, $y = 0$, $x = 2$

Use the shell method to determine the volume of the solid formed by rotating the region about the y axis.

$y = x^2 + 2$

$y = 0$, $x = 0$, $x = 2$

Find the area enclosed by $x^2 + y^2 = r^2$.

Complete the square for the expression $x^2 - 2x + 3$ and rewrite it in the form $a - b^2$.

Evaluate the integral $8 \displaystyle \int_{1}^{\frac{\sqrt{5}}{2}} u^2 \, du$.

Evaluate the integral from 0 to 2 of $\displaystyle \int_{0}^{2} (5x^4 - 2x) \, dx$ using the fundamental theorem of calculus Part 2.

Convert $x = \sec\theta$ back in terms of $x$ using a right triangle and basic SOHCAHTOA.

Evaluate $\displaystyle \int_{0}^{3} e^{2x} \, dx$ using the $u$-substitution method, where $u = 2x$.

Calculate the definite integral of $\sec^2(\theta) - 1$ from $\theta = 0$ to $\theta = \frac{\pi}{6}$.

Given differential equations, find their order and degree.

Is Differential Equations a hard class?

Using parameterization, find the coordinates of a point on the unit circle given an angle $\theta$.