integral from 0 to 1 of (x^{12}+12^x)

Lösung

\int_{0}^{1} (x^{12} + 1 2^{x}) d x

\frac{1}{13} + \frac{11}{ln ( 12 )}

Dezimale

4.50364 \dots

Schritte zur Lösung

\int_{0}^{1} x^{12} + 1 2^{x} 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} x^{12} d x + \int_{0}^{1} 1 2^{x} d x

\int_{0}^{1} x^{12} d x = \frac{1}{13}

\int_{0}^{1} 1 2^{x} d x = \frac{11}{ln ( 12 )}

= \frac{1}{13} + \frac{11}{ln ( 12 )}

\int_{0}^{1} x^{4} - x^{5} d x

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

\int_{1}^{4} 3^{x - 1} d x

\int_{1}^{3} \frac{5}{x} d x

\int_{- 3}^{2} x^{2} + x - 6 d x