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Beliebt Rechnen >

integral from 0 to 16 of sin(sqrt(x))

Lösung

\int_{0}^{16} sin (x) d x

Lösung

2 (sin (4) - 4 cos (4))

+1

Dezimale

3.71554 \dots

Schritte zur Lösung

\int_{0}^{16} sin (x) d x

Wende U-Substitution an

= \int_{0}^{4} sin (u) \cdot 2 u d u

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 \cdot \int_{0}^{4} sin (u) u d u

Wende die partielle Integration an

= 2 [- u cos (u) - \int - cos (u) d u]_{0}^{4}

\int - cos (u) d u = - sin (u)

= 2 [- u cos (u) - (- sin (u))]_{0}^{4}

Vereinfache

= 2 [- u cos (u) + sin (u)]_{0}^{4}

Berechne die Grenzen:

sin (4) - 4 cos (4)

= 2 (sin (4) - 4 cos (4))

Graph

Beliebte Beispiele

integral of sin^n(x)

\int sin^{n} (x) d x

derivative of x^{9sin(x})

\frac{d}{d x} (x^{9 s i n (x)})

integral of zsqrt(4z^2+8)

\int z 4 z^{2} + 8 d z

(dy)/(dx)=((x-4))/(y-6)

\frac{d y}{d x} = \frac{( x - 4 )}{y - 6}

fläche y=10+9x-x^2,y=-3x+46,[6,15+1/3 ]

a re a y = 10 + 9 x - x^{2}, y = - 3 x + 46, [6, 15 + \frac{1}{3}]