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:

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:

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!