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Popular >

integral of 2x^2+4x

Solution

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

Solution

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

Solution steps

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

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

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

= \frac{2 x ^{3}}{3} + 2 x^{2}

Add a constant to the solution

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

Graph

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\int sin^{2} (\frac{3 π x}{10}) d x

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\int cos (t - u) d u

integral of z/((y^2+z^2)^{3/2)}

\int \frac{z}{( y ^{2} + z ^{2} ) ^{\frac{3}{2}}} d z

Frequently Asked Questions (FAQ)

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