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Popular >

integral of 6x-3x^2

Solution

\int 6 x - 3 x^{2} d x

Solution

3 x^{2} - x^{3} + C

Solution steps

\int 6 x - 3 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 6 x d x - \int 3 x^{2} d x

\int 6 x d x = 3 x^{2}

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

= 3 x^{2} - x^{3}

Add a constant to the solution

= 3 x^{2} - x^{3} + C

Popular Examples

integral of (3x^2)/(x^3+4)

\int \frac{3 x ^{2}}{x ^{3} + 4} d x

integral of ((x-1)^2)/(sqrt(x))

\int \frac{( x - 1 ) ^{2}}{x} d x

integral of 3tan^3(x)sec(x)

\int 3 tan^{3} (x) sec (x) d x

integral of x^{-4}sqrt(x)

\int x^{- 4} x d x

integral of (x^2-1)/(x-1)

\int \frac{x ^{2} - 1}{x - 1} d x

Frequently Asked Questions (FAQ)

What is the integral of 6x-3x^2 ?
The integral of 6x-3x^2 is 3x^2-x^3+C