integral of sec^2(x)sqrt(tan(x))

Lösung

\int sec^{2} (x) tan (x) d x

\frac{2}{3} tan^{\frac{3}{2}} (x) + C

Schritte zur Lösung

\int sec^{2} (x) tan (x) d x

Wende U-Substitution an

= \int u d u

Wende die Potenzregel an

= \frac{2}{3} u^{\frac{3}{2}}

Setze in

u = tan (x)

ein

= \frac{2}{3} tan^{\frac{3}{2}} (x)

Füge eine Konstante zur Lösung hinzu

= \frac{2}{3} tan^{\frac{3}{2}} (x) + C

n = 1 \sum \infty (sin (3))^{n}

\frac{d}{d x} (e^{x + y} - 1)

\int \frac{sin ^{4} ( x )}{cos ^{6} ( x )} d x

t an g e n t f (x) = 7 x, at x = 4

n = 5 \sum \infty \frac{n ^{3}}{2 ^{n}}