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Beliebt Rechnen >

integral of sqrt(sin^2(x))

Lösung

\int sin^{2} (x) d x

Lösung

- cos (x) + C

Schritte zur Lösung

\int sin^{2} (x) d x

sin^{2} (x) = (sin (x)),

angenommen

sin (x) \geq 0

= \int sin (x) d x

Nutze das gemeinsame Integral :

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

= - cos (x)

Füge eine Konstante zur Lösung hinzu

= - cos (x) + C

Graph

Beliebte Beispiele

derivative of 7x^2cos(xcot(x))

\frac{d}{d x} (7 x^{2} cos (x) cot (x))

(d^2)/(dx^2)(x/y)

\frac{d ^{2}}{d x ^{2}} (\frac{x}{y})

integral of 3x^2ln(x^2+5)

\int 3 x^{2} ln (x^{2} + 5) d x

limit as x approaches 0 of x[ln(x)]^2

x \to 0 lim (x [ln (x)]^{2})

integral of ((1+e^x))/(e^x)

\int \frac{( 1 + e ^{x} )}{e ^{x}} d x