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Beliebt Rechnen >

integral of sqrt(t)cos(t)

Lösung

\int t cos (t) d t

Lösung

t sin (t) - \frac{π}{2} § (\frac{2}{π} t) + C

Schritte zur Lösung

\int t cos (t) d t

Wende die partielle Integration an

= t sin (t) - \int \frac{sin ( t )}{2 t} d t

\int \frac{sin ( t )}{2 t} d t = \frac{π}{2} § (\frac{2}{π} t)

= t sin (t) - \frac{π}{2} § (\frac{2}{π} t)

Füge eine Konstante zur Lösung hinzu

= t sin (t) - \frac{π}{2} § (\frac{2}{π} t) + C

Beliebte Beispiele

integral of 3/(1+x^2)-2/(sqrt(1-x^2))

\int \frac{3}{1 + x ^{2}} - \frac{2}{1 - x ^{2}} d x

integral of (-8)/(x(ln(x))^2)

\int \frac{- 8}{x ( ln ( x ) ) ^{2}} d x

integral of 54(1+x^2)(7+18x+6x^3)^{10}

\int 54 (1 + x^{2}) (7 + 18 x + 6 x^{3})^{10} d x

integral of 4/((x^2+2^2)^2)

\int \frac{4}{( x ^{2} + 2 ^{2} ) ^{2}} d x

integral of-2x^3e^{-x^2}

\int - 2 x^{3} e^{- x^{2}} d x