integral from 0 to 1 of (3+2x^2)

Lösung

\int_{0}^{1} (3 + 2 x^{2}) d x

\frac{11}{3}

Dezimale

3.66666 \dots

Schritte zur Lösung

\int_{0}^{1} 3 + 2 x^{2} d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{1} 3 d x + \int_{0}^{1} 2 x^{2} d x

\int_{0}^{1} 3 d x = 3

\int_{0}^{1} 2 x^{2} d x = \frac{2}{3}

= 3 + \frac{2}{3}

Vereinfache

3 + \frac{2}{3} : \frac{11}{3}

= \frac{11}{3}

d er i v a t i v e \frac{- x ^{2} - 7}{( x ^{2} - 7 ) ^{2}}

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

in v erse l a pl a ce \frac{2 s - 1}{s ^{2} - 6 s + 18}

\frac{d}{d t} (12 t)

\int_{0}^{1} e^{- s t} d t