Multiple-Choice Questions or Objective Type Questions on Integration [PDF Included]

Here, I will display some Multiple-Choice Questions on Integration with answers that will help you in achieving a high score in your exams. Recently, many questions of all the exams are based on MCQ Questions.

Further, there will be a quiz on Integration.

Now, without wasting your time, let us move into the MCQ section:

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MCQ Questions on Integration

  • If derivative of SinX is CosX; the integration of CosX is:
  1. –CosX
  2. – SinX
  3.   SinX  ✔
  4.  None of these.
  • If f(x) and g(x) are two functions defined on an interval (I); Integration of {f(x)+g(x)} is equal to:
  1.  ʃ{f(x)}dx- ʃ{g(x)}dx
  2.  ʃ{g(x)}dx- ʃ{f(x)}dx
  3.  ʃ{f(x)}dx+ ʃ{g(x)}dx  ✔
  4. None of these
  • ʃkg(x)dx =____ where k is a constant
  1. (k/2) ʃg(x)dx
  2. ʃg(x)dx
  3. 0
  4.  kʃg(x)dx  ✔
  • ʃ2dz=____ where, c is a constant
  1. 0
  2. 2
  3. 2z+c  ✔
  4. 2z
  • Find the value of ʃ(4y+5) dy ; c is the constant
  1. 2(4y+5)+c
  2. 2y^2+5y+c  ✔
  3. 4y+5+c
  4. 4
  • ʃdx/x=____? Where x is not equal to zero.
  1. log I(x)I  ✔
  2. log x
  3. –logx
  4. None of these
  • ʃx^n dx = {x^(n+1)}/(n+1) is not possible when
  1. n=0
  2. n=1
  3. n=2
  4. n=-1  ✔
  • ʃdx/x= log I(x)I  is not possible when
  1. x=1
  2. x=-1
  3. x=0  ✔
  4. x=-2
  • Find the value of: ʃz^n dz when n is not equal to (-1).
  1. {z^(n+1)}/(n+1)  ✔
  2. {z^(n+1)}
  3. (n+1)/ {z^(n+1)}
  4. None of these.
  • Find the value of: ʃ(sin2z)dz
  1. {Cos(2z)}/2
  2. {Cos(2z)}
  3. -{Cos(2z)}/2  ✔
  4. -{sin(2z)}/2
  • Find the value of: ʃcosec2z cot2z dz
  1. –(cosec2z)/2  ✔
  2. (cosec2z)/2
  3. (sec2z)/2
  4. –(sec2z)/2
  • ʃz^3 dz=____.
  1. Z^3/3
  2. Z^3/3+c
  3. Z^4/4
  4. Z^4/4 +c  ✔
  • ʃ{sin2(z)+cos2(z)}dz=____.
  1. {sin3(z)}/3+{cos3(z)/3}
  2. z+c where c is a constant  ✔
  3. {sin3(z)}/3-{cos3(z)/3} +c where c is a constant
  4. None of these
  • ʃsec2z dz=____.
  1. secz
  2. tanz  ✔
  3. secz-tanz
  4. secz+tanz
  • Derivative of Φ(x) is ǿ(x); then ʃ ǿ(x) =____.
  1. Φ(x)  ✔
  2. ǿ(x)
  3. none of these

Quiz on Integration

Here is the quiz for you:

130
Created on

Quiz on Integration

1 / 10

If ʃzdx=coshx, then find the value of z

2 / 10

Find the value of ʃe^y dy

3 / 10

Find the value of ʃ z^4 /4 dz

4 / 10

ʃcosec^2 z dz=____.

5 / 10

Find the value of ʃ(3+5y) dy ; c is the constant

6 / 10

ʃ5dy=____ where, c is a constant

7 / 10

If f(x) and g(x) are two functions defined on an interval (I); Integration of {f(x)-g(x)} is equal to:

8 / 10

If derivative of CosX is (-SinX); then ʃSinXdx is:

9 / 10

ʃe^y dy=?

10 / 10

Find the value of ʃ{e^tan-1y/(1+y2)}dy; (Hint: assume:
tan-1y=x)

Your score is

The average score is 55%

0%

MCQ Questions on Formulas of Integration

Solve the following MCQ Questions so that you can remember the formulas easily.

  • ʃsec2xdx=____.
  1. cotx
  2. cosx
  3. sinx
  4. tanx  ✔
  • ʃcosec2xdx=____.
  1. sinx
  2. tanx
  3. –cotx  ✔
  4. cotx
  • ʃzdx=secx; then z=____?
  1. tanx
  2. secx tanx  ✔
  3. cosx
  4. cosecx secx
  • ʃzdx=-cosecx; then z=____?
  1. cotx
  2. cosecx cotx  ✔
  3. – cosecx cotx 
  4. None of these.
  • If ʃzdx=sin-1x=-cos-1x, then find the value of Z?
  1. 1/(1-x2)
  2. -1/(1-x2
  3. 1/(1-x2)1/2  ✔
  4. -1/(1-x2)1/2
  • If ʃdx/(a2+x2) = (1/a)____.
  1. tan-1 (x/a)  ✔
  2. tan-1 (a/x)
  3. sin-1 (x/a)
  4. cos-1 (x/a)
  • If ʃsinhxdx=Z, then find the value of Z
  1. cosx
  2. coshx  ✔
  3. sinhx
  4. none of these
  • If ʃzdx=sinhx, then find the value of z
  1. cosx
  2. coshx ✔
  3. sinhx 
  4. none of these
  • If ʃ{(1/(x2+a2)}dx=1/a{tan-1(?)}, the value is:
  1. a/x
  2. a2/x2 
  3. x/a  ✔
  4. x2/a2 
  • If ʃ{(1/(x2-a2)}dx=1/2a{log(?)}, the value is:
  1. {(a-x)/(x+a)}
  2. (x-a)/(x+a)  ✔
  3. a2/x2 
  4. x2/a2 

Conclusion

I hope that you have got interested in studying the multiple-choice questions on Integration. You can write your questions/ queries on Integration so that I can clarify those also. Further, let me know if you want MCQ Questions on some other topic in Mathematics by writing in the comment box. Wish you good luck!

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