Trắc nghiệm Nguyên hàm có đáp án (p1) (Thông hiểu)

A. ln|cosx|+C

B. ln|sinx|+C

C. sinx+C

D. tanx+C

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

B. $\int f\left(x\right)dx=\ln \left(\cos 2x-1\right)+C$

C. $\int f\left(x\right)dx=\ln \left(\sin 2x\right)+C$

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

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

B. $\int f\left(x\right)dx=\frac{1}{6}\cos 3x+\frac{1}{2}\sin x+C$

C. $\int f\left(x\right)dx=\frac{1}{6}\cos 3x-\frac{1}{2}\sin x+C$

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

A. $\frac{x^4}{12}+e^x$

B. $\frac{x^4}{3}+e^x$

C. $3x^2+e^x$

D. $x^2+e^x$

A. $y=12x^3$

B. $y=\frac{3x^5}{5}-1$

C. $y=\frac{3x^5+1}{5}$

D. $y=\frac{3x^5}{5}-\frac{3}{5}$

A. $f\left(x\right)=12x^2-6x+2+C$

B. $f\left(x\right)=12x^2-6x+2$

C. $f\left(x\right)=x^4-x^3+x^2+Cx$

D. $f\left(x\right)=x^4-x^3+x^2+Cx+C\text{'}$

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

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

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

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

A. $\cos x+2\ln \left(x\right)+C$

B. $\cos x-\frac{2}{x^2}+C$

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

D. $-\cos x+2\ln x+C$

A. $\int 5^{2x}dx=2.\frac{5^{2x}}{\ln 5}+C$

B. $\int 5^{2x}dx=\frac{5^{2x}}{2\ln 5}+C$

C. $\int 5^{2x}dx={2.5}^{2x}.\ln 5+C$

D. $\int 5^{2x}dx=\frac{{25}^{x+1}}{x+1}+C$

A. $\int f\left(x\right)dx=e^{2018x}+C$

B. $\int f\left(x\right)dx=\frac{1}{2018}{e}^{2018x}+C$

C. $\int f\left(x\right)dx=2018e^{2018x}+C$

D. $\int f\left(x\right)dx=e^{2018x}.\ln 2018+C$

A. $x^2-\frac{1}{2}\cos 2x+C$

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

C. $x^2-2x\cos 2x+C$

D. $x^2+2x\cos 2x+C$

A. $2\cos 2x+C$

B. $-2\cos 2x+C$

C. $-\frac{1}{2}\cos 2x+C$

D. $\frac{1}{2}\cos 2x+C$

A. $I=\int 2u\sin udu$

B. $I=\int u\sin udu$

C. $I=\int 2\sin udu$

D. $I=\int \sin udu$

A. $\frac{2}{3}\ln \left(2x+1\right)+\frac{5}{3}\ln \left(x-1\right)+C$

B. $-\frac{2}{3}\ln \left(2x+1\right)+\frac{5}{3}\ln \left(x-1\right)+C$

C. $\frac{2}{3}\ln \left(2x+1\right)-\frac{5}{3}\ln \left(x-1\right)+C$

D. $-\frac{1}{3}\ln \left(2x+1\right)+\frac{5}{3}\ln \left(x-1\right)+C$

A. $-\frac{1}{3}\cos 3x+\cos x+C$

B. $\frac{1}{3}\cos 3x+\cos x+C$

C. $\frac{1}{3}\cos 3x-\cos x+C$

D. $-\cos 3x+\cos x+C$

A. 3

B. 4

C. 8

D. -1