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

Lösung

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

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

Schritte zur Lösung

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

\int x^{2} d x = \frac{x ^{3}}{3}

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

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

Füge eine Konstante zur Lösung hinzu

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

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

\int e^{(2 - s) t} d t

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

\int \frac{30}{x} d x

\int \frac{t - 1}{t ^{4} + 6 t ^{3} + 9 t ^{2}} d t