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Beliebt Rechnen >

integral from 0 to 1 of 1/(sqrt(16-x^2))

Lösung

\int_{0}^{1} \frac{1}{16 - x ^{2}} d x

Lösung

arcsin (\frac{1}{4})

+1

Dezimale

0.25268 \dots

Schritte zur Lösung

\int_{0}^{1} \frac{1}{16 - x ^{2}} d x

Trigonometrische Substitution anwenden

= \int_{0}^{a r c s i n (\frac{1}{4})} 1 d u

Integral einer Konstanten :

\int a d x = a x

= [1 \cdot u]_{0}^{a r c s i n (\frac{1}{4})}

Vereinfache

= [u]_{0}^{a r c s i n (\frac{1}{4})}

Berechne die Grenzen:

arcsin (\frac{1}{4})

= arcsin (\frac{1}{4})

Graph

Beliebte Beispiele

ydx+sqrt(x^2+1)dy=0

y d x + x^{2} + 1 d y = 0

derivative of (5-3x^2)

\frac{d}{d x} ((5 - 3 x)^{2})

integral of 1/((1+x)^{3/4)}

\int \frac{1}{( 1 + x ) ^{\frac{3}{4}}} d x

sum from n=0 to infinity of (100^n)/(n!)

n = 0 \sum \infty \frac{10 0 ^{n}}{n !}

derivative of ((x^3/(x^4-2x))^3)

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