What is the integral from 0 to 1 of 4x^9+8x^5-5x^3-6 ?

The integral from 0 to 1 of 4x^9+8x^5-5x^3-6 is -331/60

Popular >

integral from 0 to 1 of 4x^9+8x^5-5x^3-6

\int_{0}^{1} 4 x^{9} + 8 x^{5} - 5 x^{3} - 6 d x

- \frac{331}{60}

Decimal

- 5.51666 \dots

Solution steps

\int_{0}^{1} 4 x^{9} + 8 x^{5} - 5 x^{3} - 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} 4 x^{9} d x + \int_{0}^{1} 8 x^{5} d x - \int_{0}^{1} 5 x^{3} d x - \int_{0}^{1} 6 d x

\int_{0}^{1} 4 x^{9} d x = \frac{2}{5}

\int_{0}^{1} 8 x^{5} d x = \frac{4}{3}

\int_{0}^{1} 5 x^{3} d x = \frac{5}{4}

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

= \frac{2}{5} + \frac{4}{3} - \frac{5}{4} - 6

Simplify

\frac{2}{5} + \frac{4}{3} - \frac{5}{4} - 6 : - \frac{331}{60}

= - \frac{331}{60}

\int_{0}^{1} (x^{2} + 2) d x

\int_{- 2}^{2} (x - 3) 4 - x^{2} d x

\int_{3}^{5} x ln (x) d x

\int_{2}^{6} 2 x^{2} - 16 x + 24 d x

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

What is the integral from 0 to 1 of 4x^9+8x^5-5x^3-6 ?
The integral from 0 to 1 of 4x^9+8x^5-5x^3-6 is -331/60