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

Lösung

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

12

Schritte zur Lösung

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

\int_{0}^{3} x^{2} d x = 9

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

= 9 + 3

Vereinfache

= 12

\int (x + 2)^{- \frac{1}{2}} d x

\int_{1}^{t} \frac{13}{x ^{3}} d x

\int \frac{x}{( 1 + x ^{2} ) ^{3}} d x

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

\int \frac{2 x}{( x ^{2} + y ^{2} ) ^{2}} d x