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Popular >

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

Solution

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

Solution

\frac{13}{3}

+1

Decimal

4.33333 \dots

Solution steps

\int_{1}^{2} 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_{1}^{2} x^{2} d x + \int_{1}^{2} 2 d x

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

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

= \frac{7}{3} + 2

Simplify

\frac{7}{3} + 2 : \frac{13}{3}

= \frac{13}{3}

Graph

Popular Examples

integral from-2 to 2 of x^3-2x^2+7

\int_{- 2}^{2} x^{3} - 2 x^{2} + 7 d x

integral from 1 to 4 of 8

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

integral from-1 to 2 of x^3-4x

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

integral from 1 to 4 of 2^{3x}

\int_{1}^{4} 2^{3 x} d x

integral from-7 to 7 of (t^3)/(11+8t^2)

\int_{- 7}^{7} \frac{t ^{3}}{11 + 8 t ^{2}} d t

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of (x^2+2) ?
The integral from 1 to 2 of (x^2+2) is 13/3