Question

integration of cos(e^x) with respect to x

Answer 1

Answer:

∫ cos e^x dx = x cos e^x + ∫ x e^x sin e^x dx

Step-by-step explanation:

∫ cos e^ x dx

let u = cos e^x

u=cos⁡e^x

du = − e^x sin e^x dx

du = dx

u = x

then we can write that,

∫ cos e^x dx = x cos e^x + ∫ x e^x sin e^x dx