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Popular Calculus >

integral from 0 to 1 of (x^2+3)

Solution

\int_{0}^{1} (x^{2} + 3) d x

Solution

\frac{10}{3}

+1

Decimal

3.33333 \dots

Solution steps

\int_{0}^{1} x^{2} + 3 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_{0}^{1} x^{2} d x + \int_{0}^{1} 3 d x

\int_{0}^{1} x^{2} d x = \frac{1}{3}

\int_{0}^{1} 3 d x = 3

= \frac{1}{3} + 3

Simplify

\frac{1}{3} + 3 : \frac{10}{3}

= \frac{10}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of (x^2+3) ?
The integral from 0 to 1 of (x^2+3) is 10/3