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Popular >

integral of 25-x^2

Solution

\int 25 - x^{2} d x

Solution

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

Solution steps

\int 25 - 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 25 d x - \int x^{2} d x

\int 25 d x = 25 x

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

= 25 x - \frac{x ^{3}}{3}

Add a constant to the solution

= 25 x - \frac{x ^{3}}{3} + C

Popular Examples

limit as z approaches 0 of 8/(z^3)+2/z+2

z \to 0 lim (\frac{8}{z ^{3}} + \frac{2}{z} + 2)

area y= 9/(x^2),y=10-x^2,y=12 area

y = \frac{9}{x ^{2}}, y = 10 - x^{2}, y = 12

(dy)/(dx)-y/(2x)=3x

\frac{d y}{d x} - \frac{y}{2 x} = 3 x

area x(x^2-11x+35),x^2,0,7 area

x (x^{2} - 11 x + 35), x^{2}, 0, 7

derivative of (4x+2^2)

\frac{d}{d x} ((4 x + 2)^{2})

Frequently Asked Questions (FAQ)

What is the integral of 25-x^2 ?
The integral of 25-x^2 is 25x-(x^3)/3+C