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Popular >

integral of (3x^2-a)

Solution

\int (3 x^{2} - a) d x

Solution

x^{3} - a x + C

Solution steps

\int 3 x^{2} - a 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 3 x^{2} d x - \int a d x

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

\int a d x = a x

= x^{3} - a x

Add a constant to the solution

= x^{3} - a x + C

Popular Examples

integral of (5+sqrt(x))/x

\int \frac{5 + x}{x} d x

integral of ((4x^2-8)^{3/2})/x

\int \frac{( 4 x ^{2} - 8 ) ^{\frac{3}{2}}}{x} d x

integral of-6e^{-x}

\int - 6 e^{- x} d x

integral of 1/(4x^2+12x+13)

\int \frac{1}{4 x ^{2} + 12 x + 13} d x

integral of (sqrt(2))/(3x^2+3)

\int \frac{2}{3 x ^{2} + 3} d x

Frequently Asked Questions (FAQ)

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