# 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:

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)

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!

1. Pak Shaheens says: