Question

Evaluate the definite integral: $∫_4^5 e^x dx$

Answer 1

Let I=$∫_4^5 e^x dx$

$∫e^xdx=e^x=F(x)$

By second fundamental theorem of calculus,we obtain

I=F(5)-F(4)

=e5-e4

=e4(e-1)