Integrals MCQ Set-1

Test your knowledge on Integrals from Mathematics, Class 12.

100

Minutes

60

Questions

1 / -0

Marking Scheme

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Questions in this Quiz

Q1: 12x1dx\int \frac{1}{2x-1} dx

  • 12log2x1+C\frac{1}{2} \log|2x-1| + C

  • log2x1+C\log|2x-1| + C

  • 12log2x1+C-\frac{1}{2} \log|2x-1| + C

  • 2log2x1+C2 \log|2x-1| + C

Q2: (3sin2x+cos2x)dx\int (3\sin^2 x + \cos^2 x) dx

  • 2x12sin2x+C2x – \frac{1}{2}\sin 2x + C

  • x+sin2x+Cx + \sin 2x + C

  • 2x+12cos2x+C2x + \frac{1}{2}\cos 2x + C

  • xcos2x+Cx – \cos 2x + C

Q3: e32xdx\int e^{3-2x} dx

  • e32x+Ce^{3-2x} + C

  • 12e32x+C\frac{1}{2} e^{3-2x} + C

  • 12e32x+C-\frac{1}{2} e^{3-2x} + C

  • 13e32x+C-\frac{1}{3} e^{3-2x} + C

Q4: sin(ex)exdx\int \sin(e^x) e^x dx

  • cos(ex)+C\cos(e^x) + C

  • cos(ex)+C-\cos(e^x) + C

  • sin(ex)+C\sin(e^x) + C

  • excos(ex)+Ce^x \cos(e^x) + C

Q5: elogx2dx\int e^{\log x^{-2}} dx

  • 1x+C\frac{1}{x} + C

  • 1x+C-\frac{1}{x} + C

  • x33+C\frac{x^{-3}}{-3} + C

  • x22+C\frac{x^2}{2} + C

Q6: (sec2xcsc2x)dx\int (\sec^2 x - \csc^2 x) dx

  • tanxcotx+C\tan x - \cot x + C

  • tanx+cotx+C\tan x + \cot x + C

  • tanx+2cotx+C\tan x + 2\cot x + C

  • 2tanx+cotx+C2\tan x + \cot x + C

Q7: sin2x1+cos2xdx\int \frac{\sin 2x}{1 + \cos 2x} dx

  • logcosx+C-\log|\cos x| + C

  • logsecx+C\log|\sec x| + C

  • 12logsecx+C\frac{1}{2} \log|\sec x| + C

  • 12logcosx+C-\frac{1}{2} \log|\cos x| + C

Q8: cos2x1cos2x+1dx\int \frac{\cos 2x - 1}{\cos 2x + 1} dx

  • tanxx+C\tan x - x + C

  • xtanx+Cx - \tan x + C

  • cotxx+C\cot x - x + C

  • xcotx+Cx - \cot x + C

Q9: cos2xcosxdx\int \frac{\cos 2x}{\cos x} dx

  • 2sinxlogsecx+tanx+C2\sin x - \log|\sec x + \tan x| + C

  • sinxlogsecx+tanx+C\sin x - \log|\sec x + \tan x| + C

  • 2sinx+logsecx+tanx+C2\sin x + \log|\sec x + \tan x| + C

  • 2cosxlogsecx+tanx+C2\cos x - \log|\sec x + \tan x| + C

Q10: 1(3x)2dx\int \frac{1}{(3-x)^2} dx

  • 13x+C-\frac{1}{3-x} + C

  • 13x+C\frac{1}{3-x} + C

  • log3x+C-\log|3-x| + C

  • 1(3x)3+C\frac{-1}{(3-x)^3} + C

...and 50 more questions.