integral from 1 to x^2 of sec(t)

Lösung

\int_{1}^{x^{2}} sec (t) d t

ln tan (x^{2}) + sec (x^{2}) - ln (tan (1) + sec (1))

Schritte zur Lösung

\int_{1}^{x^{2}} sec (t) d t

Nutze das gemeinsame Integral :

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

= [ln ∣ tan (t) + sec (t) ∣]_{1}^{x^{2}}

Berechne die Grenzen:

ln tan (x^{2}) + sec (x^{2}) - ln (tan (1) + sec (1))

= ln tan (x^{2}) + sec (x^{2}) - ln (tan (1) + sec (1))

\int_{- \frac{π}{2}}^{\frac{π}{2}} x sin (x) d x

\int_{0}^{l o g_{3} (7)} 3^{x} d x

\int_{2}^{5} 3^{2 x} d x

\int_{2}^{3} (4 - x^{2}) d x

\int_{1}^{2} \frac{x ^{2}}{4} d x