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Popular >

integral of x^3+1

Solution

\int x^{3} + 1 d x

Solution

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

Solution steps

\int x^{3} + 1 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 1 d x

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

\int 1 d x = x

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

Add a constant to the solution

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

Graph

Popular Examples

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

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

derivative of (x^2+7/(x-3))

\frac{d}{d x} (\frac{x ^{2} + 7}{x - 3})

integral from 0 to 5 of sqrt(x+4)

\int_{0}^{5} x + 4 d x

taylor e^xsin(x)taylor

e^{x} sin (x)

integral of (x+9)/(x^2+25)

\int \frac{x + 9}{x ^{2} + 25} d x

Frequently Asked Questions (FAQ)

What is the integral of x^3+1 ?
The integral of x^3+1 is (x^4)/4+x+C