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Popular >

integral of x^3+2

Solution

\int x^{3} + 2 d x

Solution

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

Solution steps

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

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

\int 2 d x = 2 x

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

Add a constant to the solution

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

Popular Examples

limit as x approaches 15 of sqrt(x+3)

x \to 15 lim (x + 3)

integral of (4-x)/((x+2)(x^2+2))

\int \frac{4 - x}{( x + 2 ) ( x ^{2} + 2 )} d x

(\partial)/(\partial y)((x+y)e^y)

\frac{\partial}{\partial y} ((x + y) e^{y})

x(dy)/(dx)-3y=x^4

x \frac{d y}{d x} - 3 y = x^{4}

integral from 1 to e of ln(5x^3)

\int_{1}^{e} ln (5 x^{3}) d x

Frequently Asked Questions (FAQ)

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