find constants c1 and c2 such that fx c1xe x c2e x is an antiderivative of fx 3xe x 82536

Find constants $c_{1}$ and $c_{2}$ such that $F(x)=c_{1} x \sin x+c_{2} \cos x$ is an antiderivative of $f(x)=x \cos x .$

APPLICATIONS OF THE DERIVATIVE

Antiderivatives Preparing for the AP Exam

Find f. (Use C for the constant of the first antiderivative and D for the constant of the second antiderivative.) f ''(x) = 28x3 − 15x2 + 10x f(x) =

Adi S.

Find constants $c_{1}$ and $c_{2}$ such that $F(x)=c_{1} \sin 3 x+c_{2} x \cos 3 x$ is an antiderivative of $f(x)=2 x \sin 3 x$.

Integration

The Indefinite Integral

Find constants c1 and c2 such that F(x) = c1xe^(-x) + c2e^(-x) is an antiderivative of f(x) = 3xe^(-x).