integral of (3x+1)cos(x)

Lösung

\int (3 x + 1) cos (x) d x

sin (x) (3 x + 1) + 3 cos (x) + C

Schritte zur Lösung

\int (3 x + 1) cos (x) d x

Wende die partielle Integration an

= (3 x + 1) sin (x) - \int 3 sin (x) d x

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

= (3 x + 1) sin (x) - (- 3 cos (x))

Vereinfache

= sin (x) (3 x + 1) + 3 cos (x)

Füge eine Konstante zur Lösung hinzu

= sin (x) (3 x + 1) + 3 cos (x) + C

in v erse l a pl a ce \frac{18}{s ^{2} + 5 s + 6} + \frac{6}{s}

\frac{d}{d x} ((\frac{x}{x ^{2} + 1})^{2})

x \to e lim (\frac{1}{2} ln (x))

\frac{d}{d x} (sin ((π x)^{9}))

t an g e n t f (x) = 8 x - 10, (4, 22)