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Popular >

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

Popular Examples

integral of 0.01x

\int 0.01 x d x

integral of 32x^3-18x^2+10x

\int 32 x^{3} - 18 x^{2} + 10 x d x

integral of (cos(22x))/(sin^2(22x))

\int \frac{cos ( 22 x )}{sin ^{2} ( 22 x )} d x

integral of ((5-4x^2+2x^3-x^7))/(x^3)

\int \frac{( 5 - 4 x ^{2} + 2 x ^{3} - x ^{7} )}{x ^{3}} d x

integral of 1/(x(2+4ln(x)))

\int \frac{1}{x ( 2 + 4 ln ( x ) )} d x

Frequently Asked Questions (FAQ)

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