integral of 3csc^2(t)-5sec(t)tan(t)

Lösung

\int 3 csc^{2} (t) - 5 sec (t) tan (t) d t

- 3 cot (t) - 5 sec (t) + C

Schritte zur Lösung

\int 3 csc^{2} (t) - 5 sec (t) tan (t) d t

Wende die Summenregel an:

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

= \int 3 csc^{2} (t) d t - \int 5 sec (t) tan (t) d t

\int 3 csc^{2} (t) d t = - 3 cot (t)

\int 5 sec (t) tan (t) d t = 5 sec (t)

= - 3 cot (t) - 5 sec (t)

Füge eine Konstante zur Lösung hinzu

= - 3 cot (t) - 5 sec (t) + C

x \to 8 - lim (\frac{1}{( x - 8 ) ^{2}})

\int x e^{2 x + 1} d x

x \to 0 lim (\frac{x}{x ^{2} - 6 x})

t an g e n t f (x) = \frac{5 x - 7}{x + 1}, at x = 0

t an g e n t f (x) = x^{2} - 2, at x = - 5