Question

Evaluate
${e}^{x} (xcosx + sinx) \: dx$
Evaluate ​

Answer 1

Step-by-step explanation:

∫e

x

(cosx−sinx)dx

=∫e

x

cosxdx−∫e

x

sinxdx

III

=cosxe

x

−∫−sinx⋅e

x

dx−∫e

x

sinxdx

=cosxe

x

+∫sinxe

x

dx−∫e

x

sinxdx

e

x

cosx+c