integral from 0 to 3 of (5x-9)

Lösung

\int_{0}^{3} (5 x - 9) d x

- \frac{9}{2}

Dezimale

- 4.5

Schritte zur Lösung

\int_{0}^{3} 5 x - 9 d x

Wende die Summenregel an:

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

= \int_{0}^{3} 5 x d x - \int_{0}^{3} 9 d x

\int_{0}^{3} 5 x d x = \frac{45}{2}

\int_{0}^{3} 9 d x = 27

= \frac{45}{2} - 27

Vereinfache

\frac{45}{2} - 27 : - \frac{9}{2}

= - \frac{9}{2}

\int_{0}^{4} 1 + x^{\frac{1}{2}} d x

\int_{0}^{3} (9 - x^{2})^{\frac{1}{2}} d x

\int_{1}^{\infty} e^{\frac{1}{2} x} d x

\int_{0}^{1} 1 x 1 - x^{2} d x

\int_{0}^{\frac{π}{2}} cos (θ) + sin (θ) d θ