Calculus Answers

∫ sin5x cos3x dx

∫ x tan² 3x² dx

∫ sec^n β tan β dβ

∫ sin³ x cos³ x dx

With the help of triple integrals, find the volume of the sphere ρ = 2 in a) Rectangular coordianates b) Cylinderical coordiantes c) Spherical coordinates 

Use the calculus to find the approximate change in the volume of a spherical soap bubble when its radius increases from 3 cm to 3.01 cm. What is the approximate value of the volume when the radius is 3.01 cm?

d/dx integral (top value=x^2, lower value=1) tan(t^3)dt

Evaluate the integral of (sin³ x + sinxcos²x)dx

Evaluate the integral of e^(2lnx) dx

Evaluate the integral of (x³- 2x+5)/(x-3) dx