What is the integral of 0.09q^2+4q+50 ?

The integral of 0.09q^2+4q+50 is 0.03q^3+2q^2+50q+C

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integral of 0.09q^2+4q+50

\int 0.09 q^{2} + 4 q + 50 d q

0.03 q^{3} + 2 q^{2} + 50 q + C

Solution steps

\int 0.09 q^{2} + 4 q + 50 d q

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 0.09 q^{2} d q + \int 4 q d q + \int 50 d q

\int 0.09 q^{2} d q = 0.03 q^{3}

\int 4 q d q = 2 q^{2}

\int 50 d q = 50 q

= 0.03 q^{3} + 2 q^{2} + 50 q

Add a constant to the solution

= 0.03 q^{3} + 2 q^{2} + 50 q + C

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What is the integral of 0.09q^2+4q+50 ?
The integral of 0.09q^2+4q+50 is 0.03q^3+2q^2+50q+C