integral from 0 to x of cos(x+y+z)

Lösung

\int_{0}^{x} cos (x + y + z) d z

sin (2 x + y) - sin (x + y)

Schritte zur Lösung

\int_{0}^{x} cos (x + y + z) d z

Wende U-Substitution an

= \int_{x + y}^{2 x + y} cos (u) d u

Nutze das gemeinsame Integral :

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

= [sin (u)]_{x + y}^{2 x + y}

Berechne die Grenzen:

sin (2 x + y) - sin (x + y)

= sin (2 x + y) - sin (x + y)

\int_{- 1}^{2} (x^{3} - 7 x) d x

\int_{0}^{\frac{π}{2}} x \cdot sin (2 x) d x

\int_{0}^{1} \frac{1}{x ( x + 1 )} d x

\int_{0}^{\frac{π}{4}} cos^{2} (2 x) d x

\int_{- π}^{π} x^{2} cos (x) d x