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Popular >

integral of 16+x^2

Solution

\int 16 + x^{2} d x

Solution

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

Solution steps

\int 16 + 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 16 d x + \int x^{2} d x

\int 16 d x = 16 x

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

= 16 x + \frac{x ^{3}}{3}

Add a constant to the solution

= 16 x + \frac{x ^{3}}{3} + C

Graph

Popular Examples

integral of (e^{5x})/((e^{2x)+1)^2}

\int \frac{e ^{5 x}}{( e ^{2 x} + 1 ) ^{2}} d x

y^'=20t^4-20t^3+3-4t^{-2}

y^{^{'}} = 20 t^{4} - 20 t^{3} + 3 - 4 t^{- 2}

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\frac{d}{d x} (x^{0.75})

integral of sin(x)(cos(x))^3

\int sin (x) (cos (x))^{3} d x

f (x) = \frac{1}{4 x}

Frequently Asked Questions (FAQ)

What is the integral of 16+x^2 ?
The integral of 16+x^2 is 16x+(x^3)/3+C