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

Related Maths A Level answers

All answers ▸

y = 4x^3 - 5/x^2 Find dy/dx


Differentiate cos(2x)/(x) with respect to x


How do I integrate 4x*exp(x^2 - 1) with respect to x?


What is a derivative?