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Popular >

integral from 1 to 2 of x^2-1/2

Solution

\int_{1}^{2} x^{2} - \frac{1}{2} d x

Solution

\frac{11}{6}

+1

Decimal Notation

1.83333 \dots

Solution steps

\int_{1}^{2} x^{2} - \frac{1}{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_{1}^{2} x^{2} d x - \int_{1}^{2} \frac{1}{2} d x

\int_{1}^{2} x^{2} d x = \frac{7}{3}

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

= \frac{7}{3} - \frac{1}{2}

Simplify

\frac{7}{3} - \frac{1}{2} : \frac{11}{6}

= \frac{11}{6}

Popular Examples

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

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

integral from t to 0 of e^{ax}

\int_{t}^{0} e^{a x} d x

integral from 0 to 4 of pi|4x-x^2|

\int_{0}^{4} π 4 x - x^{2} d x

integral from-pi/4 to pi/4 of x^3sin(x)

\int_{- \frac{π}{4}}^{\frac{π}{4}} x^{3} sin (x) d x

integral from 0 to 2 of 1/(sqrt(4-s^2))

\int_{0}^{2} \frac{1}{4 - s ^{2}} d s

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of x^2-1/2 ?
The integral from 1 to 2 of x^2-1/2 is 11/6