CBSE

MATHEMATICS · Multi-part · CBSE · Mathematics · Integrals · Integrals

Problem

Let

I = \displaystyle \int e^{5x}\cos 2x\,dx

. (a) Obtain an explicit expression for

I

in terms of elementary functions, including the constant of integration. (b) Differentiate your result to verify that it is indeed equal to

e^{5x}\cos 2x