Question

Calculate the following integrals

\[\Large \int_0^{\frac{\pi}{2}} dx \cos(x)e^{-sin(x)}\]

Answer 1

let u=sin x

Answer 2

use substitution

u = sin(x)
du = cos(x)dx

Answer 3

you can just sub du in and eliminate the cos(x)dx

Answer 4

guys i am quite very new to integrals i need complete solution rather then advice, i have exam tomorrow this question possible to appear on my exam paper

Answer 5

crap

Answer 6

\[\int\limits_{0}^{\pi/2}e^{-u}du\]

Answer 7

can you compute the antiderivative?

Answer 8

anti derivative of e^(-u) = -e^(-u)

Answer 9

then resub in

u=sin(x)

you will get this after replacing u