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Beliebt Rechnen >

integral of xsin(5bx)

Lösung

\int x sin (5 b x) d x

Lösung

- \frac{1}{5 b} x cos (5 b x) + \frac{1}{25 b ^{2}} sin (5 b x) + C

Schritte zur Lösung

\int x sin (5 b x) d x

Wende die partielle Integration an

= - \frac{1}{5 b} x cos (5 b x) - \int - \frac{1}{5 b} cos (5 b x) d x

\int - \frac{1}{5 b} cos (5 b x) d x = - \frac{1}{25 b ^{2}} sin (5 b x)

= - \frac{1}{5 b} x cos (5 b x) - (- \frac{1}{25 b ^{2}} sin (5 b x))

Vereinfache

= - \frac{1}{5 b} x cos (5 b x) + \frac{1}{25 b ^{2}} sin (5 b x)

Füge eine Konstante zur Lösung hinzu

= - \frac{1}{5 b} x cos (5 b x) + \frac{1}{25 b ^{2}} sin (5 b x) + C

Graph

Beliebte Beispiele

sum from n=1 to infinity of (x^n)/(5^n)

n = 1 \sum \infty \frac{x ^{n}}{5 ^{n}}

y^'-2/x y=(y^5)/(x^2),y(1)=1

y^{^{'}} - \frac{2}{x} y = \frac{y ^{5}}{x ^{2}}, y (1) = 1

derivative of 2x^2+x-6

\frac{d}{d x} (2 x^{2} + x - 6)

derivative of cot(6sqrt(-x))

\frac{d}{d x} (cot (6 - x))

derivative of (sin(xsec(x))/(1+xtan(x)))

\frac{d}{d x} (\frac{sin ( x ) sec ( x )}{1 + x tan ( x )})