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Popular >

integral of 9+x^2

Solution

\int 9 + x^{2} d x

Solution

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

Solution steps

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

\int 9 d x = 9 x

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

= 9 x + \frac{x ^{3}}{3}

Add a constant to the solution

= 9 x + \frac{x ^{3}}{3} + C

Graph

Popular Examples

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\int e^{5 x} \cdot sin (3 x) d x

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\int 2 x^{2} e^{5 x} d x

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\int \frac{e ^{- x} - e ^{- a x}}{x} d x

integral of x+e^{-y}

\int x + e^{- y} d x

integral of (x^{3/2}+3)^6sqrt(x)

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

Frequently Asked Questions (FAQ)

What is the integral of 9+x^2 ?
The integral of 9+x^2 is 9x+(x^3)/3+C