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Popular >

integral of (3x^2+2x)

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Popular Examples

integral of cos(x)(sin(x))^a

\int cos (x) (sin (x))^{a} d x

integral of (2x^5-10x^3-2x^2+10)/(x^2-5)

\int \frac{2 x ^{5} - 10 x ^{3} - 2 x ^{2} + 10}{x ^{2} - 5} d x

integral of 1/((x+1)sqrt(x+2))

\int \frac{1}{( x + 1 ) x + 2} d x

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

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

integral of sqrt(2x^2+9)

\int 2 x^{2} + 9 d x

Frequently Asked Questions (FAQ)

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