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Beliebt Rechnen >

integral of sin(x)(tan(x)+cot(x))

Lösung

\int sin (x) (tan (x) + cot (x)) d x

Lösung

ln ∣ tan (x) + sec (x) ∣ + C

Schritte zur Lösung

\int sin (x) (tan (x) + cot (x)) d x

Vereinfache

sin (x) (tan (x) + cot (x)) : sec (x)

= \int sec (x) d x

Nutze das gemeinsame Integral :

\int sec (x) d x = ln ∣ tan (x) + sec (x) ∣

= ln ∣ tan (x) + sec (x) ∣

Füge eine Konstante zur Lösung hinzu

= ln ∣ tan (x) + sec (x) ∣ + C

Graph

Beliebte Beispiele

integral of x^3sqrt(4x^2-9)

\int x^{3} 4 x^{2} - 9 d x

integral of (x^4+x^3+1)/((x^2+4)^3)

\int \frac{x ^{4} + x ^{3} + 1}{( x ^{2} + 4 ) ^{3}} d x

integral of (x+3)/(2x^3-16)

\int \frac{x + 3}{2 x ^{3} - 16} d x

integral of (2x^2)/(sqrt(x^3+12))

\int \frac{2 x ^{2}}{x ^{3} + 12} d x

integral of xsqrt(x^2+2x)

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