integral from 0 to 3 of 3^x+sqrt(9-x^2)

Lösung

\int_{0}^{3} 3^{x} + 9 - x^{2} d x

\frac{26}{ln ( 3 )} + \frac{9 π}{4}

Dezimale

30.73480 \dots

Schritte zur Lösung

\int_{0}^{3} 3^{x} + 9 - 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}^{3} 3^{x} d x + \int_{0}^{3} 9 - x^{2} d x

\int_{0}^{3} 3^{x} d x = \frac{26}{ln ( 3 )}

\int_{0}^{3} 9 - x^{2} d x = \frac{9 π}{4}

= \frac{26}{ln ( 3 )} + \frac{9 π}{4}

\int_{2 + c o s (x)}^{x^{2} + 1} \frac{1}{x} d x

\int_{0}^{4} x x^{2} + 3 d x

\int_{0}^{1} (x^{2} + 4) e^{3 x} d x

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\int_{0}^{1} x^{2} (2 + 2 x^{3})^{5} d x