# 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:

145
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 54%

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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Tiulip

I love to educate myself. When I educate the little ones, I can educate myself in a better way. So I choose to educate all students with the help of advanced technology and that is by opening a site. Though by profession I am working in an MNC as a Mechanical Engineer, I love to educate from the beginning to build a career as a student.

## One thought on “Multiple-Choice Questions or Objective Type Questions on Integration [PDF Included]”

1. Pak Shaheens says:

Good efforts 🙂