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Popular >

integral of 4-x^2

Solution

\int 4 - x^{2} d x

Solution

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

Solution steps

\int 4 - 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 4 d x - \int x^{2} d x

\int 4 d x = 4 x

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

= 4 x - \frac{x ^{3}}{3}

Add a constant to the solution

= 4 x - \frac{x ^{3}}{3} + C

Popular Examples

integral of 1/(tsqrt(t))

\int \frac{1}{t t} d t

integral of x/((x^2-6x+10)^2)

\int \frac{x}{( x ^{2} - 6 x + 10 ) ^{2}} d x

derivative of e^{-2ix}

\frac{d}{d x} (e^{- 2 i x})

(\partial)/(\partial x)((6x)/((x^2+9)))

\frac{\partial}{\partial x} (\frac{6 x}{( x ^{2} + 9 )})

sum from n=0 to infinity of n/(2^n)

n = 0 \sum \infty \frac{n}{2 ^{n}}

Frequently Asked Questions (FAQ)

What is the integral of 4-x^2 ?
The integral of 4-x^2 is 4x-(x^3)/3+C