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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

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integral from 0 to e of x*ln(x)

\int_{0}^{e} x \cdot ln (x) d x

integral of 0.2x+8

\int 0.2 x + 8 d x

e^x,e^{-x},x=-2,x=1

e^{x}, e^{- x}, x = - 2, x = 1

Frequently Asked Questions (FAQ)

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