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# Evaluate the definite integrals in Exercises 1 to 20. Integral 4 to 5 e^x dx

Evaluate the definite integrals in Exercises 1 to 20.

Q6.    $\int_4^5 e^x dx$

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Given integral: $\int_4^5 e^x dx$

Consider the integral $\int e^x dx$

$\int e^x dx = e^x$

So, we have the function of $x$$f(x) = e^x$

Now, by Second fundamental theorem of calculus, we have

$I = f(5) -f(4)$

$= e^5 -e^4$

$= e^4(e-1)$

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