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Popular >

integral from 1 to 3 of x^2+3

Solution

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

Solution

\frac{44}{3}

+1

Decimal Notation

14.66666 \dots

Solution steps

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

\int_{1}^{3} x^{2} d x = \frac{26}{3}

\int_{1}^{3} 3 d x = 6

= \frac{26}{3} + 6

Simplify

\frac{26}{3} + 6 : \frac{44}{3}

= \frac{44}{3}

Popular Examples

integral from 0 to a of 10xsqrt(a^2-x^2)

\int_{0}^{a} 10 x a^{2} - x^{2} d x

integral from 1 to infinity of 4e^{-4x}

\int_{1}^{\infty} 4 e^{- 4 x} d x

integral from 3 to 2 of 1

\int_{3}^{2} 1

integral from 1/2 to 1 of (x^{-3}-15)

\int_{\frac{1}{2}}^{1} (x^{- 3} - 15) d x

integral from 0 to 5 of x+3

\int_{0}^{5} x + 3 d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of x^2+3 ?
The integral from 1 to 3 of x^2+3 is 44/3