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Popular >

integral from 1 to 6 of (x^3+2)

Solution

\int_{1}^{6} (x^{3} + 2) d x

Solution

\frac{1335}{4}

+1

Decimal Notation

333.75

Solution steps

\int_{1}^{6} x^{3} + 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}^{6} x^{3} d x + \int_{1}^{6} 2 d x

\int_{1}^{6} x^{3} d x = \frac{1295}{4}

\int_{1}^{6} 2 d x = 10

= \frac{1295}{4} + 10

Simplify

\frac{1295}{4} + 10 : \frac{1335}{4}

= \frac{1335}{4}

Popular Examples

integral from 0 to 4 of 2x-3

\int_{0}^{4} 2 x - 3 d x

integral from 0 to 8 of e^{-0.1175t}

\int_{0}^{8} e^{- 0.1175 t} d t

integral from 1 to 2 of sqrt(1+16x^2)

\int_{1}^{2} 1 + 16 x^{2} d x

integral from 0 to 2 of (2x^2-x^3)

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

integral from 0 to 1 of 2te^{-st}

\int_{0}^{1} 2 t e^{- s t} d t

Frequently Asked Questions (FAQ)

What is the integral from 1 to 6 of (x^3+2) ?
The integral from 1 to 6 of (x^3+2) is 1335/4