integral from x^2+1 to 3 of sqrt(cos(t))

Lösung

\int_{x^{2} + 1}^{3} cos (t) d t

2 E (\frac{3}{2} ∣ 2) - 2 E (\frac{x ^{2} + 1}{2} ∣ 2)

Schritte zur Lösung

\int_{x^{2} + 1}^{3} cos (t) d t

Das ist ein nicht elementares Integral :

\int cos (x) d x = 2 E (\frac{x}{2} ∣ 2)

= [2 E (\frac{t}{2} ∣ 2)]_{x^{2} + 1}^{3}

Berechne die Grenzen:

2 E (\frac{3}{2} ∣ 2) - 2 E (\frac{x ^{2} + 1}{2} ∣ 2)

= 2 E (\frac{3}{2} ∣ 2) - 2 E (\frac{x ^{2} + 1}{2} ∣ 2)

\int_{\infty}^{- 1} \frac{1}{x ^{2}} d x

\int_{\frac{3 π}{2}}^{2 π} cos (x) d x

\int_{0}^{1} \frac{x}{( x + 31 ) ^{2}} d x

\int_{0}^{2} 3 e^{x^{2} - 3 x} d x

\int_{0}^{4} x^{3} 16 - x^{2} d x