integral of 2sin(x)+3cos(x)

Lösung

\int 2 sin (x) + 3 cos (x) d x

- 2 cos (x) + 3 sin (x) + C

Schritte zur Lösung

\int 2 sin (x) + 3 cos (x) d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 2 sin (x) d x + \int 3 cos (x) d x

\int 2 sin (x) d x = - 2 cos (x)

\int 3 cos (x) d x = 3 sin (x)

= - 2 cos (x) + 3 sin (x)

Füge eine Konstante zur Lösung hinzu

= - 2 cos (x) + 3 sin (x) + C

y^{^{''}} + y^{^{'}} - 6 y = 0, y (0) = 1, y^{^{'}} (0) = - 13

\int_{0}^{1} x (x - x^{2}) d x

\int \frac{x - 3}{( 3 x - 2 ) ^{2}} d x

\int 7 y^{5} d y

\int_{0}^{0.4} e^{- x^{2}} d x