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Popular >

integral from 1 to 8 of (1+x^3)

Solution

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

Solution

\frac{4123}{4}

+1

Decimal Notation

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}

Popular Examples

integral from 0 to pi/2 of sin(x)+cos(x)

\int_{0}^{\frac{π}{2}} sin (x) + cos (x) d x

integral from 0 to 2 of 4x-x^2

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

integral from-pi to pi of sin(x)sin(2x)

\int_{- π}^{π} sin (x) sin (2 x) d x

integral from 5 to 5 of 4x

\int_{5}^{5} 4 x d x

integral from 1 to 2 of 1/(x^2-x)

\int_{1}^{2} \frac{1}{x ^{2} - x} d x

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