Integrals - Online Test
Q1. The value of the integral dx lies in
Answer : Option B
Explaination / Solution:
Q2. is equal to
Answer : Option C
Explaination / Solution:
Q3. dx is not equal to
Answer : Option A
Explaination / Solution:
Q4. If then
Answer : Option C
Explaination / Solution:
⇒ddx(g(x)+C)=ddx∫f(x)dx=f(x)
Q5. is equal to
Answer : Option B
Explaination / Solution:
ddx(∫f(x)dx)=f(x)
Q6. is equal to
Answer : Option D
Explaination / Solution:
∫e−logxdx=∫elogx−1dx=∫x−1dx=log|x|+C
Q7. dx is not equal to
Answer : Option C
Explaination / Solution:
Q8. If dx = g (x) + C and also dx = h(x) + D, then
Answer : Option A
Explaination / Solution:
Since g(x) and h(x) are integrals of the same function , therefore ; g(x) – h(x) is constant. 'OR'
[g(x)+C] - [f(x)+D]=0 => g(x) - f(x) = D-C, Which is a constant of integeration.
Q9. One value of ∫ f′(x) dx is
Answer : Option B
Explaination / Solution:
As therefore,one value of is f(x).
Q10. dx is equal to
Answer : Option B
Explaination / Solution:
