integral from 4 to infinity of 1/(x^4)

Lösung

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

\frac{1}{192}

Dezimale

0.00520 \dots

Schritte zur Lösung

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

Berechne das unbestimmte Integral:

\int \frac{1}{x ^{4}} d x = - \frac{1}{3 x ^{3}} + C

Berechne die Grenzen:

\int_{4}^{\infty} \frac{1}{x ^{4}} d x = 0 - (- \frac{1}{192})

= 0 - (- \frac{1}{192})

Vereinfache

= \frac{1}{192}

\int_{0}^{2} 2 t (t^{2} + 1) d t

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

\int_{- \infty}^{0} e^{2 t} d t

\int_{0}^{a} cosh (\frac{t}{a}) d t

\int_{- x}^{x} x^{3} y^{2} d y