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:

- –CosX
- – SinX
- SinX ✔
- 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:

- ʃ{f(x)}dx- ʃ{g(x)}dx
- ʃ{g(x)}dx- ʃ{f(x)}dx
- ʃ{f(x)}dx+ ʃ{g(x)}dx ✔
- None of these

- ʃkg(x)dx =____ where k is a constant

- (k/2) ʃg(x)dx
- ʃg(x)dx
- 0
- kʃg(x)dx ✔

- ʃ2dz=____ where, c is a constant

- 0
- 2
- 2z+c ✔
- 2z

- Find the value of ʃ(4y+5) dy ; c is the constant

- 2(4y+5)+c
- 2y^2+5y+c ✔
- 4y+5+c
- 4

- ʃdx/x=____? Where x is not equal to zero.

- log I(x)I ✔
- log x
- –logx
- None of these

- ʃx^n dx = {x^(n+1)}/(n+1) is not possible when

- n=0
- n=1
- n=2
- n=-1 ✔

- ʃdx/x= log I(x)I is not possible when

- x=1
- x=-1
- x=0 ✔
- x=-2

- Find the value of: ʃz^n dz when n is not equal to (-1).

- {z^(n+1)}/(n+1) ✔
- {z^(n+1)}
- (n+1)/ {z^(n+1)}
- None of these.

- Find the value of: ʃ(sin2z)dz

- {Cos(2z)}/2
- {Cos(2z)}
- -{Cos(2z)}/2 ✔
- -{sin(2z)}/2

- Find the value of: ʃcosec2z cot2z dz

- –(cosec2z)/2 ✔
- (cosec2z)/2
- (sec2z)/2
- –(sec2z)/2

- ʃz^3 dz=____.

- Z^3/3
- Z^3/3+c
- Z^4/4
- Z^4/4 +c ✔

- ʃ{sin
^{2}(z)+cos^{2}(z)}dz=____.

- {sin
^{3}(z)}/3+{cos^{3}(z)/3} - z+c where c is a constant ✔
- {sin
^{3}(z)}/3-{cos^{3}(z)/3} +c where c is a constant - None of these

- ʃsec
^{2}z dz=____.

- secz
- tanz ✔
- secz-tanz
- secz+tanz

- Derivative of Φ(x) is ǿ(x); then ʃ ǿ(x) =____.

- Φ(x) ✔
- ǿ(x)
- 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.

- ʃsec
^{2}xdx=____.

- cotx
- cosx
- sinx
- tanx ✔

- ʃcosec
^{2}xdx=____.

- sinx
- tanx
- –cotx ✔
- cotx

- ʃzdx=secx; then z=____?

- tanx
- secx tanx ✔
- cosx
- cosecx secx

- ʃzdx=-cosecx; then z=____?

- cotx
- cosecx cotx ✔
- – cosecx cotx
- None of these.

- If ʃzdx=sin
^{-1}x=-cos^{-1}x, then find the value of Z?

- 1/(1-x
^{2}) - -1/(1-x
^{2}) - 1/(1-x
^{2})^{1/2 }✔ - -1/(1-x
^{2})^{1/2}

- If ʃdx/(a
^{2}+x^{2}) = (1/a)____.

- tan
^{-1 }(x/a) ✔ - tan
^{-1 }(a/x) - sin
^{-1 }(x/a) - cos
^{-1 }(x/a)

- If ʃsinhxdx=Z, then find the value of Z

- cosx
- coshx ✔
- sinhx
- none of these

- If ʃzdx=sinhx, then find the value of z

- cosx
- coshx ✔
- sinhx
- none of these

- If ʃ{(1/(x
^{2}+a^{2})}dx=1/a{tan^{-1}(?)}, the value is:

- a/x
- a
^{2}/x^{2} - x/a ✔
- x
^{2}/a^{2}

- If ʃ{(1/(x
^{2}-a^{2})}dx=1/2a{log(?)}, the value is:

- {(a-x)/(x+a)}
- (x-a)/(x+a) ✔
- a
^{2}/x^{2} - x
^{2}/a^{2}

## 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!

Good efforts 🙂