integral of sin(t)*t

Lösung

\int sin (t) \cdot t d t

- t cos (t) + sin (t) + C

Schritte zur Lösung

\int sin (t) t d t

Wende die partielle Integration an

= - t cos (t) - \int - cos (t) d t

\int - cos (t) d t = - sin (t)

= - t cos (t) - (- sin (t))

Vereinfache

= - t cos (t) + sin (t)

Füge eine Konstante zur Lösung hinzu

= - t cos (t) + sin (t) + C

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

\int_{- \frac{1}{2}}^{\frac{1}{2}} \frac{1}{1 - x ^{2}} d x

y^{^{'}} = \frac{x \cdot y}{1 + x ^{2}}

\int (x^{3} + x^{2})^{9} (3 x^{2} + 2 x) d x

\int 7 e^{4 x} cos (8 x) d x