integral from-3 to 3 of (y+2|y|)

Lösung

\int_{- 3}^{3} (y + 2 ∣ y ∣) d y

18

Schritte zur Lösung

\int_{- 3}^{3} y + 2 ∣ y ∣ d y

Entferne die Extremwerte

= \int_{- 3}^{0} y + 2 (- y) d y + \int_{0}^{3} y + 2 y d y

\int_{- 3}^{0} y + 2 (- y) d y = \frac{9}{2}

\int_{0}^{3} y + 2 y d y = \frac{27}{2}

= \frac{9}{2} + \frac{27}{2}

Vereinfache

\frac{9}{2} + \frac{27}{2} : 18

= 18

\int_{b}^{\infty} \frac{1}{x} d x

\int_{0}^{\frac{1}{2}} arcsin (y) d y

\int_{1 - 5 x}^{1} \frac{u ^{3}}{1 + u ^{2}} d u

\int_{1}^{2} 5 x 5 - x^{2} d x

\int_{1}^{5} \frac{1}{1 + x - 1} d x