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Popular >

integral from 0 to 1 of (-x^2+2)

Solution

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

Solution

\frac{5}{3}

+1

Decimal

1.66666 \dots

Solution steps

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

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

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

= - \frac{1}{3} + 2

Simplify

- \frac{1}{3} + 2 : \frac{5}{3}

= \frac{5}{3}

Graph

Popular Examples

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\int_{1}^{3} (x^{2} + \frac{1}{x ^{2}}) d x

integral from-5 to 6 of (36-x^2)-(6-x)

\int_{- 5}^{6} (36 - x^{2}) - (6 - x) d x

integral from 0 to 6 of 4x^2

\int_{0}^{6} 4 x^{2} d x

integral from 0 to pi/2 of-sin(2t-pi/3)

\int_{0}^{\frac{π}{2}} - sin (2 t - \frac{π}{3}) d t

integral from 1 to 3 of 9-x^2

\int_{1}^{3} 9 - x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of (-x^2+2) ?
The integral from 0 to 1 of (-x^2+2) is 5/3