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Popular Calculus >

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

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

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

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

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

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

\int_{- π}^{π} x^{2} sin^{3} (x) d x

integral from 2 to 7 of tsqrt(t+2)

\int_{2}^{7} t 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