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Popular >

integral of (6x^2-2x)

Solution

\int (6 x^{2} - 2 x) d x

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Popular Examples

integral of 2xcos(x^2-5)

\int 2 x cos (x^{2} - 5) d x

integral of 1/(sqrt(3x^2+7))

\int \frac{1}{3 x ^{2} + 7} d x

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

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

integral of 4x^3-3x^2+2x-1

\int 4 x^{3} - 3 x^{2} + 2 x - 1 d x

integral of (ln(ax+b))/(ax+b)

\int \frac{ln ( a x + b )}{a x + b} d x

Frequently Asked Questions (FAQ)

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