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Popular >

integral from 0 to 1 of x^4-x^6

Solution

\int_{0}^{1} x^{4} - x^{6} d x

Solution

\frac{2}{35}

+1

Decimal Notation

0.05714 \dots

Solution steps

\int_{0}^{1} x^{4} - x^{6} 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^{4} d x - \int_{0}^{1} x^{6} d x

\int_{0}^{1} x^{4} d x = \frac{1}{5}

\int_{0}^{1} x^{6} d x = \frac{1}{7}

= \frac{1}{5} - \frac{1}{7}

Simplify

\frac{1}{5} - \frac{1}{7} : \frac{2}{35}

= \frac{2}{35}

Popular Examples

integral from 7 to 14 of sqrt(x^2-16)

\int_{7}^{14} x^{2} - 16 d x

integral from 1 to 10 of (sqrt(x-1))/x

\int_{1}^{10} \frac{x - 1}{x} d x

integral from 0 to 2pi of 5t*sqrt(2)

\int_{0}^{2 π} 5 t \cdot 2 d t

integral from 2 to 3 of sqrt(x)ln(x)

\int_{2}^{3} x ln (x) d x

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

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of x^4-x^6 ?
The integral from 0 to 1 of x^4-x^6 is 2/35