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Popular >

integral of (2x^3+3)

Solution

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

Solution

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

Solution steps

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

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

\int 3 d x = 3 x

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

Add a constant to the solution

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

Graph

Popular Examples

integral of (x^2)/(sin(x^3))

\int \frac{x ^{2}}{sin ( x ^{3} )} d x

integral of (ln(y))/(y^3)

\int \frac{ln ( y )}{y ^{3}} d y

integral of (ln(x^2+1))/(x^2)

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

integral of e^{-9x^2}

\int e^{- 9 x^{2}} d x

integral of (x^2+3)3x^2

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

Frequently Asked Questions (FAQ)

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