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Popular >

integral of 4x^2-2x

Solution

\int 4 x^{2} - 2 x d x

Solution

\frac{4 x ^{3}}{3} - x^{2} + C

Solution steps

\int 4 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 4 x^{2} d x - \int 2 x d x

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

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

= \frac{4 x ^{3}}{3} - x^{2}

Add a constant to the solution

= \frac{4 x ^{3}}{3} - x^{2} + C

Graph

Popular Examples

integral of (\sqrt[5]{x^3}+4^x+14x^7-2)

\int (5 x^{3} + 4^{x} + 14 x^{7} - 2) d x

integral of ((sqrt(x)+6)^6)/(2sqrt(x))

\int \frac{( x + 6 ) ^{6}}{2 x} d x

integral of 2/(xsqrt(4x^2-1))

\int \frac{2}{x 4 x ^{2} - 1} d x

integral of 3/(x^2-25)

\int \frac{3}{x ^{2} - 25} d x

integral of 1/((sqrt(x)-\sqrt[3]{x))}

\int \frac{1}{( x - 3 x )} d x

Frequently Asked Questions (FAQ)

What is the integral of 4x^2-2x ?
The integral of 4x^2-2x is (4x^3)/3-x^2+C