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Popular >

integral from 1 to 3 of (-x^2+4)

Solution

\int_{1}^{3} (- x^{2} + 4) d x

Solution

- \frac{2}{3}

+1

Decimal Notation

- 0.66666 \dots

Solution steps

\int_{1}^{3} - x^{2} + 4 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_{1}^{3} x^{2} d x + \int_{1}^{3} 4 d x

\int_{1}^{3} x^{2} d x = \frac{26}{3}

\int_{1}^{3} 4 d x = 8

= - \frac{26}{3} + 8

Simplify

- \frac{26}{3} + 8 : - \frac{2}{3}

= - \frac{2}{3}

Popular Examples

integral from 0 to 3 of x^3e^{x^2}

\int_{0}^{3} x^{3} e^{x^{2}} d x

integral from 1 to 6 of x^3

\int_{1}^{6} x^{3} d x

integral from 2 to infinity of (e^x)/x

\int_{2}^{\infty} \frac{e ^{x}}{x} d x

integral from 0 to 0.87 of ln(x+1)

\int_{0}^{0.87} ln (x + 1) d x

integral from 2 to 5 of x^2+1/(x^2)

\int_{2}^{5} x^{2} + \frac{1}{x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of (-x^2+4) ?
The integral from 1 to 3 of (-x^2+4) is -2/3