Calculus Answers

Integration Procedures (Integration by Parts)

∫ y √(y+1)dy

Integration Procedures (Integration by Parts)

∫ x³ cos 5x dx

Integration Procedures(Itevrations by Parts)

∫ x³ cos 5x dx

Integration Procedures(Itevrations by Parts)

∫ y √(y+1)dy

Integration Procedures(Itevrations by Parts)

∫ x³dx/cuberoot of (8-x²) from 0 to √7

Use logarithmic differentiation to find 𝑓 ′ (𝑥) for 𝑓(𝑥) = (𝑥^2−1)(𝑥 2−2)(x^2−3) / (𝑥^2+1)(𝑥^2+2)(𝑥^2+3) . Then, find 𝑓 ′ (2) and 𝑓 ′ (1).

A goat is tied by a rope of length r metres to the corner of a square field with sides of length 100 m,. Find r if the goat is able to reach exactly half the grass in the field.

Simplify (9.0×10^9)[20×10^-8/d+0.1)-5.0×10^-8/d^2)=0

determine the points of discontinuity of the dunction and the nature of discontinuity at each of these points f(x)={-x^2 when x<=0; 4-5x when 0<x<=1; 3x-4x^2 when 1<x<2; -12x+2x when x>2, also check whether function is drivable at x=1 

evaluate limx-0(n/1+n^2+n/4+n^2+n/9+n^2+.....+n/2n^2)