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Popular Calculus >

integral from 1 to 8 of 1+x^3

Solution

\int_{1}^{8} 1 + x^{3} d x

Solution

\frac{4123}{4}

+1

Decimal

1030.75

Solution steps

\int_{1}^{8} 1 + x^{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}^{8} 1 d x + \int_{1}^{8} x^{3} d x

\int_{1}^{8} 1 d x = 7

\int_{1}^{8} x^{3} d x = \frac{4095}{4}

= 7 + \frac{4095}{4}

Simplify

7 + \frac{4095}{4} : \frac{4123}{4}

= \frac{4123}{4}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 8 of 1+x^3 ?
The integral from 1 to 8 of 1+x^3 is 4123/4