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Popular Calculus >

integral of (a-bx^2)

Solution

\int (a - b x^{2}) d x

Solution

a x - \frac{b x ^{3}}{3} + C

Solution steps

\int a - b x^{2} 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 a d x - \int b x^{2} d x

\int a d x = a x

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

= a x - \frac{b x ^{3}}{3}

Add a constant to the solution

= a x - \frac{b x ^{3}}{3} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of (a-bx^2) ?
The integral of (a-bx^2) is ax-(bx^3)/3+C