integral from-1 to 1 of x^2+3

Lösung

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

\frac{20}{3}

Dezimale

6.66666 \dots

Schritte zur Lösung

\int_{- 1}^{1} x^{2} + 3 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_{- 1}^{1} x^{2} d x + \int_{- 1}^{1} 3 d x

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

\int_{- 1}^{1} 3 d x = 6

= \frac{2}{3} + 6

Vereinfache

\frac{2}{3} + 6 : \frac{20}{3}

= \frac{20}{3}

\int_{0}^{b} \frac{x}{x ^{2} + 1} d x

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

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

\int_{0}^{2 π} sin^{3} (x) cos (x) d x

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