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Popular >

integral of 2x^2+3

Solution

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

Solution

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

Solution steps

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

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

\int 3 d x = 3 x

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

Add a constant to the solution

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

Popular Examples

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\frac{d}{d x} (- \frac{13}{x ^{4}})

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\int \frac{- 2}{z ^{3}} d z

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\frac{d}{d x} ((3 x - y)^{2})

integral of (x+1)(x-2)^9

\int (x + 1) (x - 2)^{9} d x

Frequently Asked Questions (FAQ)

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