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Popular >

integral of x^3+4

Solution

\int x^{3} + 4 d x

Solution

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

Solution steps

\int x^{3} + 4 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 4 d x

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

\int 4 d x = 4 x

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

Add a constant to the solution

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

Graph

Popular Examples

integral of (7sqrt(x^3)+3\sqrt[3]{x^2})

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

integral of (x^4)/((9-x^5)^2)

\int \frac{x ^{4}}{( 9 - x ^{5} ) ^{2}} d x

integral of 2x^4sin(x)

\int 2 x^{4} sin (x) d x

integral of sin(6x)cos(x)

\int sin (6 x) cos (x) d x

integral of 3/2 (1-x^2)

\int \frac{3}{2} (1 - x^{2}) d x

Frequently Asked Questions (FAQ)

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