Thi thử trắc nghiệm ôn tập môn Toán cao cấp C1 online – Đề #15

A $\frac{1}{2}\ln |{x^2} - 2x + 2| - 2\arctan (x - 1) + C$ B $\frac{1}{2}\ln |{x^2} - 2x + 2| - 4\arctan (x - 1)$ C $\frac{1}{2}\ln |{x^2} + 2x + 2| - 4\arctan (x - 1)$ D $\frac{1}{2}\ln |{x^2} + 2x + 2| - 4\arctan (x + 1)$

A $\frac{\pi }{2}$ B $\frac{2 }{\pi}$ C $\frac{2}{\pi } + \frac{1}{2}$ D $\frac{\pi }{2} + \frac{1}{3}$

A $\frac{4}{3}\pi b{a^2}$ B $\pi b{a^2}$ C $\frac{2}{3}\pi b{a^2}$ D $\frac{1}{3}\pi b{a^2}$

A $\ln |\frac{x}{2}\sqrt {{x^2} + x + 1} | + C$ B $\ln |x + \frac{1}{2}\sqrt {{x^2} + x + 1} | + C$ C $\ln |x + \sqrt {{x^2} + x + 1} | + C$ D $\ln |x + \frac{1}{2} + \sqrt {{x^2} + x + \frac{1}{2}} | + C$

A $\frac{\pi }{3}$ B $\frac{{2\pi }}{{15}}$ C $\frac{{\pi }}{{15}}$ D $\frac{{\pi }}{{20}}$