What is the indefinite integral of (x^4)*(-sin(x)) dx

Use integration by parts. Let u = x^4 and let dv/dx = -sin(x). Find du/dx = 4x^3 and fin v = cos(x). Use the equation uv - int (v du/dx) = x^4 cos(x) - 4((x^4/4)*(sin(x)) = x^4 cos(x) - x^4 sin(x) = x^4 (cos(x) - sin(x))

SA
Answered by Sarah A. Maths tutor

10213 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Solve 4x/(x+1) - 3/(2x+1) = 1


Differentiate the following equation: y = 2(x^3) - 6x


What is the coefficient of x^4 in the expansion of (x+3)^7


A curve C has equation y = x^2 − 2x − 24sqrt x, x > 0. Prove that it has a stationary point at x=4.


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:

© 2026 by IXL Learning