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

Lösung

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

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

Schritte zur Lösung

\int_{1}^{x^{4}} 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^{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))

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