integral cot^4(x)

Lösung

integral

cot^{4} (x)

- \frac{1}{3} cot^{3} (x) + x + cot (x) + C

Schritte zur Lösung

\int cot^{4} (x) d x

Wende integrale Reduktion an

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

\int cot^{2} (x) d x = - x - cot (x)

= - \frac{cot ^{3} ( x )}{3} - (- x - cot (x))

Vereinfache

- \frac{cot ^{3} ( x )}{3} - (- x - cot (x)) : - \frac{1}{3} cot^{3} (x) + x + cot (x)

= - \frac{1}{3} cot^{3} (x) + x + cot (x)

Füge eine Konstante zur Lösung hinzu

= - \frac{1}{3} cot^{3} (x) + x + cot (x) + C

in t e g r a l \frac{- 2}{k - 2}

in t e g r a l \frac{1}{x ( x + 1 ) ^{\frac{1}{2}}}

in t e g r a l \frac{x ^{2}}{( x - 2 ) ( x ^{2} + 1 )}

in t e g r a l y = \frac{x ^{2} - cos ( x ) + 1}{x}

in t e g r a l \frac{0.001}{( 0.001 x + 1 ) ^{2}}