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Beliebt Rechnen >

integral from 0 to pi/2 of cos(x-y)

Lösung

\int_{0}^{\frac{π}{2}} cos (x - y) d x

Lösung

sin (- y + \frac{π}{2}) + sin (y)

Schritte zur Lösung

\int_{0}^{\frac{π}{2}} cos (x - y) d x

Wende U-Substitution an

= \int_{- y}^{- y + \frac{π}{2}} cos (u) d u

Nutze das gemeinsame Integral :

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

= [sin (u)]_{- y}^{- y + \frac{π}{2}}

Berechne die Grenzen:

sin (- y + \frac{π}{2}) + sin (y)

= sin (- y + \frac{π}{2}) + sin (y)

Beliebte Beispiele

integral from-1 to 2 of 4x+15

\int_{- 1}^{2} 4 x + 15 d x

integral from 1 to infinity of 6/(x^2+1)

\int_{1}^{\infty} \frac{6}{x ^{2} + 1} d x

integral from 1-y to e^y of y

\int_{1 - y}^{e^{y}} y d y

integral from 1 to 2 of 7/6

\int_{1}^{2} \frac{7}{6} d x

integral from-infinity to 0 of 1/((5)^3)

\int_{- \infty}^{0} \frac{1}{( 5 ) ^{3}} d x