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Popular >

integral of 6-x^2

Solution

\int 6 - x^{2} d x

Solution

6 x - \frac{x ^{3}}{3} + C

Solution steps

\int 6 - 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 6 d x - \int x^{2} d x

\int 6 d x = 6 x

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

= 6 x - \frac{x ^{3}}{3}

Add a constant to the solution

= 6 x - \frac{x ^{3}}{3} + C

Graph

Popular Examples

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

\int \frac{1}{1 - 2 x - x ^{2}} d x

derivative of 2x^3+3x^2-12x+7 derivative of

2 x^{3} + 3 x^{2} - 12 x + 7

d/(dt)((t^3)/3)

\frac{d}{d t} (\frac{t ^{3}}{3})

derivative of 2x^2+x+1 derivative of

2 x^{2} + x + 1

f(x)=sqrt(5-4x^2)

f (x) = 5 - 4 x^{2}

Frequently Asked Questions (FAQ)

What is the integral of 6-x^2 ?
The integral of 6-x^2 is 6x-(x^3)/3+C