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Popular >

integral from 0 to 4 of 4-x^2

Solution

\int_{0}^{4} 4 - x^{2} d x

Solution

- \frac{16}{3}

+1

Decimal Notation

- 5.33333 \dots

Solution steps

\int_{0}^{4} 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_{0}^{4} 4 d x - \int_{0}^{4} x^{2} d x

\int_{0}^{4} 4 d x = 16

\int_{0}^{4} x^{2} d x = \frac{64}{3}

= 16 - \frac{64}{3}

Simplify

16 - \frac{64}{3} : - \frac{16}{3}

= - \frac{16}{3}

Popular Examples

\frac{d x}{d t} - 3 x = t

derivative of (4x/(1+2x^2))

\frac{d}{d x} (\frac{4 x}{1 + 2 x ^{2}})

tangent of f(x)=x^2+4,(-5,29)tangent of

f (x) = x^{2} + 4, (- 5, 29)

derivative of xsqrt(2x-3)

\frac{d}{d x} (x 2 x - 3)

derivative of y=x^2-8x+5 derivative of

y = x^{2} - 8 x + 5

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of 4-x^2 ?
The integral from 0 to 4 of 4-x^2 is -16/3