Integrating with e

Question

∫e^x+4.2dx

from 0 to 5.

Find exact answer no decimals.

example that was given was ∫e^xdx=e⁵−1 integrated from 0 to 5.

Answer 1

e^(x+4.2) can be rewritten as

e^x * e^4.2

This is critical to solving this question.

e^4.2 is just a number with no x so it can be pulled out of the integral

Now integrate e^x which becomes e^x

Using the limits of integration we get.

e^4.2 * (e^5 - e^0)

Anything to the power of 0 is 1.

In total we get

e^4.2 (e^5 - 1)

Or

e^9.2 - e^4.2

Use calculator to get decimal solution.