integral from-1 to 2 of (2x^2+5x^3y)

Lösung

\int_{- 1}^{2} (2 x^{2} + 5 x^{3} y) d y

6 x^{2} + \frac{15 x ^{3}}{2}

Schritte zur Lösung

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

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 1}^{2} 2 x^{2} d y + \int_{- 1}^{2} 5 x^{3} y d y

\int_{- 1}^{2} 2 x^{2} d y = 6 x^{2}

\int_{- 1}^{2} 5 x^{3} y d y = \frac{15 x ^{3}}{2}

= 6 x^{2} + \frac{15 x ^{3}}{2}

\int_{- \frac{π}{2}}^{\frac{π}{2}} 2 t + cos (t) d t

\int_{0}^{20} x (20 - x) d x

\int_{0}^{2} 2 t sin (4 π t) d t

\int_{0}^{\frac{π}{2}} 8 sin (x) d x

\int_{0}^{10} ∣ x - 6 ∣ d x