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Beliebt Rechnen >

integral of tan^2(x)+cot^2(x)

Lösung

\int tan^{2} (x) + cot^{2} (x) d x

Lösung

- 2 x + tan (x) - cot (x) + C

Schritte zur Lösung

\int tan^{2} (x) + cot^{2} (x) d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

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

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

= - x + tan (x) - x - cot (x)

Vereinfache

= - 2 x + tan (x) - cot (x)

Füge eine Konstante zur Lösung hinzu

= - 2 x + tan (x) - cot (x) + C

Graph

Beliebte Beispiele

integral of (3x^2)/(cos^2(x^3))

\int \frac{3 x ^{2}}{cos ^{2} ( x ^{3} )} d x

integral of 8/(5xsqrt(25x^2-25))

\int \frac{8}{5 x 25 x ^{2} - 25} d x

integral of x(x^3+2)^2

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

integral 1/((x+3))

in t e g r a l \frac{1}{( x + 3 )}

integral of 3x^2(x^3+1)^{1/2}

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