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Beliebt Rechnen >

integral from 0 to 1 of 7cos(3x)

Lösung

\int_{0}^{1} 7 cos (3 x) d x

Lösung

\frac{7}{3} sin (3)

+1

Dezimale

0.32928 \dots

Schritte zur Lösung

\int_{0}^{1} 7 cos (3 x) d x

Entferne die Konstante:

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

= 7 \cdot \int_{0}^{1} cos (3 x) d x

Wende U-Substitution an

= 7 \cdot \int_{0}^{3} cos (u) \frac{1}{3} d u

Entferne die Konstante:

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

= 7 \cdot \frac{1}{3} \cdot \int_{0}^{3} cos (u) d u

Nutze das gemeinsame Integral :

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

= 7 \cdot \frac{1}{3} [sin (u)]_{0}^{3}

Vereinfache

7 \cdot \frac{1}{3} [sin (u)]_{0}^{3} : \frac{7}{3} [sin (u)]_{0}^{3}

= \frac{7}{3} [sin (u)]_{0}^{3}

Berechne die Grenzen:

sin (3)

= \frac{7}{3} sin (3)

Graph

Beliebte Beispiele

\frac{d}{d θ} (θ)

(\partial)/(\partial x)(sin(7x^2y-3xy^3))

\frac{\partial}{\partial x} (sin (7 x^{2} y - 3 x y^{3}))

derivative of cosh(xcos(x^2))

\frac{d}{d x} (cosh (x) cos (x^{2}))

derivative of arctan(8/x)

\frac{d}{d x} (arctan (\frac{8}{x}))

derivative of sqrt(x+\sqrt{x+1)}

\frac{d}{d x} (x + x + 1)