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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 (x^2)/(x^6+2x^3+3)

\int \frac{x ^{2}}{x ^{6} + 2 x ^{3} + 3} d x

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\int (- sin (y)) d y

integral of x\sqrt[4]{(x^2-1)^3}

\int x 4 (x^{2} - 1)^{3} d x

integral of rctan(sqrt(x))

\int d arctan (x) d x

integral of 1/((4x^2+1)^{3/2)}

\int \frac{1}{( 4 x ^{2} + 1 ) ^{\frac{3}{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