integral from 0 to 8 of |8-x^2|

Lösung

\int_{0}^{8} 8 - x^{2} d x

322 + \frac{- 32 2 + 512}{3} - 64

Dezimale

136.83655 \dots

Schritte zur Lösung

\int_{0}^{8} 8 - x^{2} d x

Entferne die Extremwerte

= \int_{0}^{22} 8 - x^{2} d x + \int_{22}^{8} - 8 + x^{2} d x

\int_{0}^{22} 8 - x^{2} d x = 162 - \frac{16 2}{3}

\int_{22}^{8} - 8 + x^{2} d x = - 64 + 162 + \frac{512 - 16 2}{3}

= 162 - \frac{16 2}{3} - 64 + 162 + \frac{512 - 16 2}{3}

Vereinfache

162 - \frac{16 2}{3} - 64 + 162 + \frac{512 - 16 2}{3} : 322 + \frac{- 32 2 + 512}{3} - 64

= 322 + \frac{- 32 2 + 512}{3} - 64

\int_{0}^{1} 6 x (x - x^{2}) d x

\int_{1}^{e} x ln (x^{2}) d x

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

\int_{1}^{3} 1 - (y - 2)^{2} d y

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