i need help with finding

anti derivative of
-2xe^x +y-6x^2 dx
so i use the integration by parts to solve for -2xe^x?

2 answers

Yes. Let x = u and dv = e^x dx
du = 1 and v = e^x
So the integral of x e^x is
u v - integral of v du
= x e^x - e^x
what is the antiderivitive of the squre root of two