Trắc nghiệm Nguyên hàm có đáp án (Phần 2)

A. $\int \sin xdx=\cos x+C$

B. $\int dx=x+C$

C. $\int e^{x}dx=e^x+C$

D. $\int \frac{1}{x}dx=\ln \left(x\right)+C$

A. $\int f\left(x\right)dx=6x-8\cos x+C$

B. $\int f\left(x\right)dx=6x+8\cos x+C$

C. $\int f\left(x\right)dx=x^3-8\cos x+C$

D. $\int f\left(x\right)dx=x^3+8\cos x+C$

A. $\int 0dx=C$

B. $\int dx=C$

C. $\int dx=0$

D. $\int 0dx=x+C$

A. $\int e^{x}dx=e^x+C$

B. $\int 0dx=C$

C. $\int \frac{1}{x}dx=\ln x+C$

D. $\int dx=x+C$

A. $\int a^{x}dx=\frac{a^x}{\ln a}+C\left(0<a\ne 1\right)$

B. $\int a^{x}dx=a^x+C\left(0<a\ne 1\right)$

C. $\int a^{x}dx=a^x\ln a+C\left(0<a\ne 1\right)$

D. $\int a^{x}dx=a^x\ln a\left(0<a\ne 1\right)$

A. $\int f\left(x\right)dx=\frac{x^4}{4}-\frac{3}{x}+\frac{2^x}{\ln 2}+C$

B. $\int f\left(x\right)dx=\frac{x^4}{4}+\frac{3}{x}+2^x+C$

C. $\int f\left(x\right)dx=x^4-\frac{3}{x}+2^x+C$

D. $\int f\left(x\right)dx=\frac{x^4}{4}+\frac{3}{x}+\frac{2^x}{\ln 2}+C$

A. $\int f\left(x\right)dx=3^x+C$

B. $\int f\left(x\right)dx=3^x\ln 3+C$

C. $\int f\left(x\right)dx=\frac{3^{x+1}}{x+1}+C$

D. $\int f\left(x\right)dx=\frac{3^x}{\ln 3}+C$

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

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

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

D. $e^x+1+C$

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

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

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

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

A. $\frac{{2018}^x}{\log 2018}+C$

B. $\frac{{2018}^{x+1}}{x+1}+C$

C. $\frac{{2018}^x}{\ln 2018}+C$

D. ${2018}^x.\ln 2018+C$

A. $\int \frac{1}{{\cos }^{2}x}dx=\tan x+C$

B. $\int \frac{1}{{\sin }^{2}x}dx=\cot x+C$

C. $\int \frac{1}{{\sin }^{2}x}dx=-\cot x+C$

D. $\int \frac{1}{{\cos }^{2}x}dx=\frac{\sin x}{\cos x}+C$

A. $\int f\left(x\right)dx=\frac{x^2}{2}+\sin x+C$

B. $\int f\left(x\right)dx=1-\sin x+C$

C. $\int f\left(x\right)dx=\frac{x^2}{2}-\sin x+C$

D. $\int f\left(x\right)dx=x\sin x+\cos x+C$

A. $\int \sin 3xdx=-\frac{\cos 3x}{3}+C$

B. $\int \cos 2xdx=\frac{\sin 2x}{2}+C$

C. $\int {\cos }^{2}xdx=\frac{{\cos }^{3}x}{3}+C$

D. $\int e^{-x}dx=-\frac{1}{e^x}+C$

A. $\frac{\sin 3x}{3}+C$

B. C $-\frac{\sin 3x}{3}+C$ . $\sin 3x+C$ D. $-\sin 3x+C$

C. $\sin 3x+C$

D. $-\sin 3x+C$

A. $\int f\left(x\right)dx=\frac{1}{5}\sin 5x+C$

B. $\int f\left(x\right)dx=\sin 5x+C$

C. $\int f\left(x\right)dx=-5\sin 5x+C$

D. $\int f\left(x\right)dx=-\frac{1}{5}\sin 5x+C$

A. $\frac{x}{2}+\frac{sin2x}{4}+C$

B. $\frac{x}{2}+\frac{sin2x}{2}+C$

C. $\frac{x}{2}-\frac{sin2x}{4}+C$

D. $\frac{x}{2}-\frac{sin2x}{2}+C$

A. $\int \left(\frac{1}{{\sin }^{2}x}+\frac{1}{{\cos }^{2}x}\right)dx=\tan x-\cot x+C$

B. $\int \left(\frac{1}{{\sin }^{2}x}+\frac{1}{{\cos }^{2}x}\right)dx=\cot x-\tan x+C$

C. $\int \left(\frac{1}{{\sin }^{2}x}+\frac{1}{{\cos }^{2}x}\right)dx=\tan x+\cot x+C$

D. $\int \left(\frac{1}{{\sin }^{2}x}+\frac{1}{{\cos }^{2}x}\right)dx=-\cot x-\tan x+C$

A. tanx +x + C

B. -tanx -x + C

C. tanx -x + C

D. -tanx +x + C

A. $x^3+\cot x+C$

B. $x^3+\tan x+C$

C. $5x-\cot x+C$

D. $6x+\tan x+C$

A. $\frac{x}{2}-\frac{\sin 2x}{2}+C$

B. $\frac{x}{2}-\frac{\sin 2x}{4}+C$

C. $\frac{x}{2}+\frac{\sin 2x}{4}+C$

D. $\frac{x}{2}+\frac{\sin 2x}{2}+C$

A. $F\left(x\right)=-{\cos }^{2}x$

B. $F\left(x\right)={\sin }^{2}x$

C. $F\left(x\right)=-\frac{1}{2}\cos 2x$

D. $F\left(x\right)=-\cos 2x$

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

B. $y=\ln \left(3\left(x+2\right)\right)$ là một nguyên hàm của f(x)

C. $y=\ln \left(x+2\right)+C$ là họ nguyên hàm của f(x)

D. $y=\ln \left(x+2\right)$ là một nguyên hàm của f(x)

A. $\int \frac{2}{4x-3}dx=2\ln \left(2x-\frac{3}{2}\right)+C$

B. $\int \frac{2}{4x-3}dx=\frac{1}{4}\ln \left(4x-3\right)+C$

C. $\int \frac{2}{4x-3}dx=\frac{1}{2}\ln \left(2x-\frac{3}{2}\right)+C$

D. $\int \frac{2}{4x-3}dx=\frac{1}{2}\ln \left(2x-\frac{3}{2}\right)+C$

A. $x^2\left(1+\frac{3}{4}{x}^2\right)+C$

B. $\frac{x^2}{2}\left(2x+x^3\right)+C$

C. $x^2\left(2+6x\right)+C$

D. $x^2+\frac{3}{4}{x}^4$

A. $\int f\left(x\right)dx=\frac{x^3}{3}-\frac{2}{x}+C$

B. $\int f\left(x\right)dx=\frac{x^3}{3}-\frac{1}{x}+C$

C. $\int f\left(x\right)dx=\frac{x^3}{3}+\frac{2}{x}+C$

D. $\int f\left(x\right)dx=\frac{x^3}{3}+\frac{1}{x}+C$