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Popular Calculus >

integral from 2 to 4 of x^2+1

Solution

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

Solution

\frac{62}{3}

+1

Decimal

20.66666 \dots

Solution steps

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

\int_{2}^{4} x^{2} d x = \frac{56}{3}

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

= \frac{56}{3} + 2

Simplify

\frac{56}{3} + 2 : \frac{62}{3}

= \frac{62}{3}

Graph

Popular Examples

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integral from 1 to 8 of (8x)/(x^2+6)

Frequently Asked Questions (FAQ)

What is the integral from 2 to 4 of x^2+1 ?
The integral from 2 to 4 of x^2+1 is 62/3