Evaluate the definite integral

Question

∫(5x-4e^x)dx where B > -2

∫(a=-2, b=B)

Answer 1

The standard way on how to write a definite integral is this way ∫^b_a f(x)dx.

∫^b_a f(x)dx = ∫^B_-2( 5x-4e^x)dx = [(5/2)x² -4e^x]^B_-2

=(5/2)B² - 4e^B - [(5/2)(-2)² - 4e^-2]

=(5/2)B² - 4e^B - [10 - 4/e²]

=(5/2)B² - 4e^B - 10 + 4/e²

Since you don't have any particular value for B, then we'll leave it that way.