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Popular >

integral of 4+x^2

Solution

\int 4 + x^{2} d x

Solution

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

Solution steps

\int 4 + x^{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 4 d x + \int x^{2} d x

\int 4 d x = 4 x

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

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

Add a constant to the solution

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

Popular Examples

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

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\int \frac{5 x + 6}{x + 1} d x

integral of 2+e^x

\int 2 + e^{x} d x

integral of (6x^2-6x)/(1-3x^2+2x^3)

\int \frac{6 x ^{2} - 6 x}{1 - 3 x ^{2} + 2 x ^{3}} d x

integral of 2/((2t-1)^2+4)

\int \frac{2}{( 2 t - 1 ) ^{2} + 4} d t

Frequently Asked Questions (FAQ)

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