Integrate exp(2x)cos(8x) by parts

Let u=exp(2x) and v'=cos(8x)From these you can obtain u' and vu=2exp(2x) and v=1/8 sin(8x)Formula: integral(uv'dx)=uv-integral(vu'dx)=1/8 exp(2x)sin(8x)-integral(1/4 sin(8x)exp(2x))=1/8exp(2x)sin(8x)+1/16cos(8x)exp(2x)

CD
Answered by Chloe D. Maths tutor

3479 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the coordinates of the stationary point of the graph y = 3x^2 - 12x


Curve C has equation x^2 - 3xy - 4y^2 + 64 = 0. a) find dy/dx in terms of x and y. b) find coordinates where dy/dx=0.


Find all values of x in the interval 0 ≤ x ≤ 2pi for 2sin(x)tan(x)=3


if y= e^(5x) what is dy/dx


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning