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Beliebt Rechnen >

integral of xsech^2(x)

Lösung

\int x sech^{2} (x) d x

Lösung

x tanh (x) - ln ∣ cosh (x) ∣ + C

Schritte zur Lösung

\int x sech^{2} (x) d x

Wende die partielle Integration an

= x tanh (x) - \int tanh (x) d x

\int tanh (x) d x = ln ∣ cosh (x) ∣

= x tanh (x) - ln ∣ cosh (x) ∣

Füge eine Konstante zur Lösung hinzu

= x tanh (x) - ln ∣ cosh (x) ∣ + C

Graph

Beliebte Beispiele

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

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

integral of (2x^2)/(1+sin(8)x^3)

\int \frac{2 x ^{2}}{1 + sin ( 8 ) x ^{3}} d x

integral of (2x+5)/(x^2+5x-7)

\int \frac{2 x + 5}{x ^{2} + 5 x - 7} d x

integral of+sin^4(3t)cos^4(3t)

\int + sin^{4} (3 t) cos^{4} (3 t) d t

integral of x^2sqrt(9-4x^2)

\int x^{2} 9 - 4 x^{2} d x