Trắc nghiệm Nguyên hàm có đáp án (p2) (Thông hiểu)

A. $y=\ln \left(1-x\right)$

B. $y=-\ln \left(1-x\right)$

C. $y=\ln \frac{1}{x-1}$

D. $y=\ln \left(x-1\right)$

A. $F\left(x\right)=x^3-\cos x+x+2$

B. $F\left(x\right)=\frac{x^3}{3}+\cos x+x$

C. $F\left(x\right)=\frac{x^3}{3}-\cos x+x+2$

D. $F\left(x\right)=\frac{x^3}{3}-\cos x+2$

A. $e^x+\tan x+C$

B. $e^x-\tan x+C$

C. $e^x-\frac{1}{\cos x}+C$

D. $e^x+\frac{1}{\cos x}+C$

A. $-2x-3\ln \left(1-x\right)+C\left(C\in ℝ\right).$

B. $-2x+3\ln \left(x-1\right)+C\left(C\in ℝ\right).$

C. $-2x+3\ln \left(1-x\right)+C\left(C\in ℝ\right).$

D. $-2x-3\ln \left(x-1\right)+C\left(C\in ℝ\right).$

A. $\frac{1}{2}\ln \left(2x-1\right)-\ln \left(x+2\right)+C$

B. $\ln \left(2x-1\right)-\ln \left(x+2\right)+C$

C. $\frac{1}{2}\ln \left(2x-1\right)-\ln \left(x+2\right)+C$

D. $\ln \left(\left(2x-1\right)-\left(x+2\right)\right)+C$

A. $\int f\left(x\right)\text{d}x=\ln \left(\frac{x}{x+2}\right)+C$

B. $\int f\left(x\right)\text{d}x=\frac{1}{2}\ln \left(\frac{x}{x+2}\right)+C$

C. $\int f\left(x\right)\text{d}x=\ln \left(\frac{x+2}{x}\right)+C$

D. $\int f\left(x\right)\text{d}x=\frac{1}{2}\ln \left(\frac{x+2}{x}\right)+C$

A. $x+2020\ln \left(x-1\right)+C$

B. $x-2020\ln \left(x-1\right)+C$

C. $x-\frac{2020}{{\left(x-1\right)}^2}+C$

D. $x+\frac{2020}{{\left(x-1\right)}^2}+C$

A. $\frac{2}{9}\sqrt{{\left(4+x^3\right)}^3}+C$

B. $\frac{1}{9}\sqrt{{\left(4+x^3\right)}^3}+C$

C. $2\sqrt{x^3+4}+C$

D. $2\sqrt{{\left(4+x^3\right)}^3}+C$

A. $2e^x-4x^2+C$

B. $\frac{1}{2}{e}^{2x}-4x^2+C$

C. $e^{2x}-8x^2+C$

D. $\frac{1}{2}{e}^{2x}-2x^2+C$

A. $\int 2\left(u^2+2\right)\text{d}u$

B. $\int 2u\left(u^2+2\right)\text{d}u$

C. $\int \left(2u^2+2\right)\text{d}u$

D. $\int 2u^2\text{d}u$

A. $S=\left(\pm 3\right)$

B. $S=\left(3\right)$

C. $S=\varnothing$

D. $S=\left(-3\right)$

A. -7

B. -5

C. -1

D. 5

A. $y=\frac{1}{2}x\sin 2x+\frac{1}{2}\cos 2x-3$

B. $y=\frac{-1}{2}x\sin 2x-\frac{1}{4}\cos 2x+2$

C. $y=\frac{1}{2}x\sin 2x+\frac{1}{4}\cos 2x+1$

D. $y=\frac{-1}{2}x\sin 2x+\frac{1}{4}\cos 2x-2$

A. $\frac{1}{8}{x}^2\left(2\ln x-1\right)+C$

B. $\frac{1}{4}{x}^2\left(2\ln x+1\right)+C$

C. $\frac{1}{2}{x}^2\left(2\ln x-1\right)+C$

D. $\frac{1}{8}{x}^2\left(2\ln x+1\right)+C$

A. $e^x\left(2x+2+\frac{1}{2}{e}^x\right)+C$

B. $e^x\left(2x-2+\frac{1}{2}{e}^x\right)+C$

C. $e^x\left(e^x+2x-2\right)+C$

D. $e^x\left(\frac{1}{2}{e}^x-2x+2\right)+C$