integral of xe^-x dx
Using integration by parts by letting u=x and dv/dx=e^-x. this implies that du/dx=1 and v=-e^-xThe By Parts formulae is u.v - integral(v.du/dx) = -xe^-x - integral(-e^-x).1 dx = -xe^-x + integral(e^-x) dx = -xe^-x -e^-x +c (where c is the constant of integration.)
BK
Related Maths A Level answers
All answers ▸Show that 12coshx - 4sinhx = 4e^x + 8e^-x
Use the substitution u=1+e^x to find the Integral of e^(3x) / (1 + e^x)
A curve has equation y = x^3 - 6x^2 - 15x. The curve has a stationary point M where x = -1. Find the x-coordinate of the other stationary point on the curve.
A curve has parametric equations x=t(t-1), y=4t/(1-t). The point S on the curve has parameter t=-1. Show that the tangent to the curve at S has equation x+3y+4=0.