Question

алгебра 11
Не знаю как решать

Answer 1

$f(x) = \frac{34}{ {x}^{2} + 1}$

$F(x)=\int\frac{34}{ {x}^{2} + 1}dx =34\int\frac{dx}{ {x}^{2} + 1} =\frac{34}1\arctan\frac{x}{1}+C\\\\M\Rightarrow\\\\\frac{14 \pi}{3}=34\arctan(\sqrt{3})+C\\\\\frac{14 \pi}{3}=\frac{34 \pi}{3}+C\\\\C=-\frac{20}{3}\pi \\F(x)=34\arctanx-\frac{20}3\pi$