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Popular >

integral of 5x^2+6

Solution

\int 5 x^{2} + 6 d x

Solution

\frac{5 x ^{3}}{3} + 6 x + C

Solution steps

\int 5 x^{2} + 6 d x

Apply the Sum Rule:

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

= \int 5 x^{2} d x + \int 6 d x

\int 5 x^{2} d x = \frac{5 x ^{3}}{3}

\int 6 d x = 6 x

= \frac{5 x ^{3}}{3} + 6 x

Add a constant to the solution

= \frac{5 x ^{3}}{3} + 6 x + C

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Frequently Asked Questions (FAQ)

What is the integral of 5x^2+6 ?
The integral of 5x^2+6 is (5x^3)/3+6x+C