Search & Filtering
Integration by Parts Fractions
1.) ∫dz/z+z^3
2.) ∫(2s+1)ds/s^2(s^2+1)
Integration by Parts Fractions
1.) ∫(3x^2-x+1)/(x^3-x^2)dx
2.) ∫(t^2dt)/(t+1)^3
Integration by Parts Fractions
1.) ∫dy/(y^2+2y)
2.) ∫(x^3+x+2)/(x^2-1)dx
Integration by Parts Fractions
∫dy/(y^2+2y)
Implicit Differentiation
Find the 2nd derivative of the following:
1) x=3+√x^2 + y^2
2) (x^2 + y^2)^3 = 8x^2y^2
3) x^2(y-x)^3 = 9
Use a triple integral in spherical coordinates to derive the volume of a sphere with radius a.
Evaluate the following integral by first converting to an integral in polar coordinates.
X^2dxdy...where x varies from -2 to 0 and y varies from -√(4-y^2) to √(4-y^2)
Find the area of the region R bounded by the given curves.
- R: y = 4x and y = x^3
- R: y = 6x - x^2 and y = x^2 - 2x
- R: x^2 + 3y = 4 and x - 2y = 4
- R: x + 2y = 2,y - x = 1 and 2x + y = 7
Where are is the function 𝑓(𝑥) = 1
2𝑥2-6𝑥+4 continuous?
Given that 𝑓(−1)=3and 𝑓′(−1)=2,find an equation for the tangent line to the graph of 𝑦=𝑓(𝑥)at 𝑥=−1
.
