Integrate xcos(x)

This problem will be solved using the integration by parts method, taking the integrated function as udv which answer is uv-(integration of vdu) : u=x and dv=cos(x) so, du=dx and v=sin(x). We have, xsin(x)-integration(sinxdx), and knowning that the integrate of sinx is: -cos(x)+c (constant), the final answer is: xsin(x)+cos(x)+c.

LA

Related Maths A Level answers

All answers ▸

Given that f(x) = x^2 (3x - 1)^(1/2) find f'(x)


given that at a time t, a particle is accelerating in the positive x-direction at 1/t ms^-2, calculate the velocity and the displacement of the particle at time t = 2s


Differentiate the function y = cos(sin(2x))?


The curve has the equation y= (x^3)/(2x-1). Find dy/dx.