# Solve: Definite Integral

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Solve the following integrals:

1. Int (x^2 + 6x - 5)dx

2. Int (1/x + 1/x^2)dx

3. Int 6 [square root]xdx

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## SOLUTION This solution is **FREE** courtesy of BrainMass!

I will use "Int" for the Integral sign..

1. Int [ (x^2 + 6x - 5) dx = (x^3)/3 + 6(x^2/2) - 5x = (x^3)/3 + 3(x^2) - 5x

2. Int [ {(1/x)+(1/x^2)} dx = ln x + {x^(-2+1)} / (-2+1) = ln x -(1/x) where ln is the Natural Logaritm function.

3. Int [ 6*sqrt(x) dx ] = 6* x^{ (1/2) + 1}/^{ (1/2) + 1} = 4*x^(3/2)

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