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Popular >

integral from 0 to 1 of 4-x^2

Solution

\int_{0}^{1} 4 - x^{2} d x

Solution

\frac{11}{3}

+1

Decimal

3.66666 \dots

Solution steps

\int_{0}^{1} 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}^{1} 4 d x - \int_{0}^{1} x^{2} d x

\int_{0}^{1} 4 d x = 4

\int_{0}^{1} x^{2} d x = \frac{1}{3}

= 4 - \frac{1}{3}

Simplify

4 - \frac{1}{3} : \frac{11}{3}

= \frac{11}{3}

Graph

Popular Examples

integral from 0 to 3 of x(9-x^2)

\int_{0}^{3} x (9 - x^{2}) d x

integral from 0 to e of (1+ln(x))/x

\int_{0}^{e} \frac{1 + ln ( x )}{x} d x

integral from 4 to 9 of (2+x)/(2sqrt(x))

\int_{4}^{9} \frac{2 + x}{2 x} d x

integral from 0 to 5 of ssqrt(25-s^2)

\int_{0}^{5} s 25 - s^{2} d s

integral from 0 to 1 of x^2-2x+4

\int_{0}^{1} x^{2} - 2 x + 4 d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of 4-x^2 ?
The integral from 0 to 1 of 4-x^2 is 11/3