Integrals - Online Test

Q1.

 is equal to


Answer : Option B
Explaination / Solution:



Q2.  dx is equal to
Answer : Option D
Explaination / Solution:

[−log| cosx|+log| sin x|]=log | tan x|+C

Q3. is equal to
Answer : Option B
Explaination / Solution:



Q4.  dx is equal to
Answer : Option A
Explaination / Solution:

∫cos((x−a)+a)cos(x−a)dx=∫cos(x−a)cosa−sin(x−a)sinacos(x−a)dx=∫{cosa−sinatan(x−a)}dx.xcosa+sinalog|cos(x–a)|+C
Q5. Which of the following is different from 
Answer : Option C
Explaination / Solution:



Q6.  is equal to
Answer : Option D
Explaination / Solution:



Q7. dx is equal to
Answer : Option D
Explaination / Solution:



Q8.

 dx is equal to


Answer : Option B
Explaination / Solution:

∫1xdx=loge|x|+C
Q9. If ∫ f(x) dx = f (x), then
Answer : Option B
Explaination / Solution:


It implies that the function remains same after integrating or differentiating it. So the function must be ex


Q10. x dx is equal to
Answer : Option D
Explaination / Solution: