# Evaluate the definite integral$\int\limits_4^5e^x\;dx$

Toolbox:
• $\int \limits_a^b f(x)dx=F(b)- F(a)$
• (i)$\int e^xdx=e^x+c$
Given $I=\int \limits_4^5 e^x dx$

On integrating we get

$[e^x]$

On applying limits we get

$(e^5-e^4)$

Taking $e^4$ as the common factor,

$\int \limits_4^5 e^xdx=e^4(e-1)$