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Popular >

integral from 0 to 1 of x^2+3

Solution

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

Solution

\frac{10}{3}

+1

Decimal Notation

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}

Popular Examples

integral from 0 to 1 of x^3sqrt(1+x^4)

\int_{0}^{1} x^{3} 1 + x^{4} d x

integral from 0 to r of (b*r^2+c*r)2pir

\int_{0}^{r} (b \cdot r^{2} + c \cdot r) 2 π r d r

integral from 0 to pi of e^{ax}sin(nx)

\int_{0}^{π} e^{a x} sin (n x) d x

integral from 0 to 3 of x*e^x

\int_{0}^{3} x \cdot e^{x} d x

integral from 0 to pi/4 of e^xcos(x)

\int_{0}^{\frac{π}{4}} e^{x} cos (x) d x

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