What is the integral from 0 to 5 of |10-9x-7x^2| ?

The integral from 0 to 5 of |10-9x-7x^2| is 106475/294

Popular >

integral from 0 to 5 of |10-9x-7x^2|

\int_{0}^{5} 10 - 9 x - 7 x^{2} d x

\frac{106475}{294}

Decimal

362.15986 \dots

Solution steps

\int_{0}^{5} 10 - 9 x - 7 x^{2} d x

Eliminate Absolutes

= \int_{0}^{\frac{5}{7}} 10 - 9 x - 7 x^{2} d x + \int_{\frac{5}{7}}^{5} - 10 + 9 x + 7 x^{2} d x

\int_{0}^{\frac{5}{7}} 10 - 9 x - 7 x^{2} d x = \frac{1175}{294}

\int_{\frac{5}{7}}^{5} - 10 + 9 x + 7 x^{2} d x = \frac{17550}{49}

= \frac{1175}{294} + \frac{17550}{49}

Simplify

\frac{1175}{294} + \frac{17550}{49} : \frac{106475}{294}

= \frac{106475}{294}

\int_{0}^{2 y} e^{y^{2}} d y

\int_{0}^{4} \frac{x ^{3}}{4} d x

\int_{\frac{3 π}{2}}^{\frac{π}{2}} cos (x) d x

\int_{0}^{\frac{π}{2}} sin^{4} (2 x) d x

\int_{0}^{2} x + 6 - x^{3} d x

What is the integral from 0 to 5 of |10-9x-7x^2| ?
The integral from 0 to 5 of |10-9x-7x^2| is 106475/294