integral from 1 to x^4 of sec(x)

Lösung

\int_{1}^{x^{4}} sec (x) d x

ln tan (x^{4}) + sec (x^{4}) - ln (tan (1) + sec (1))

Schritte zur Lösung

\int_{1}^{x^{4}} sec (x) d x

Nutze das gemeinsame Integral :

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

= [ln ∣ tan (x) + sec (x) ∣]_{1}^{x^{4}}

Berechne die Grenzen:

ln tan (x^{4}) + sec (x^{4}) - ln (tan (1) + sec (1))

= ln tan (x^{4}) + sec (x^{4}) - ln (tan (1) + sec (1))

\int_{0}^{x} \frac{1}{1 - t ^{2}} d t

\int_{1}^{x} \frac{10}{9 x ^{2}} d x

\int_{x - 3}^{x + 3} y d y

\int_{0}^{3} 53 - (3 x^{2} + 2 x + 20) d x

\int_{1}^{3} \frac{x}{2} d x