Definite Integrals:
When we Integrate any function we get a function and a constant term. But in case of a definite integral we get a unique answer without any integration constant. The application of definite integral is used to calculate the area bounded between the curves and find the volume of a solid body.
We can also say that; In a function f(x) which is continuous in the given interval[a,b] if we divide the given interval into n equal parts of width ∆x and select xi from the given interval, then definite integral of a function from a to b is given by:
Definite Integrals Sample Questions:
Question 1: 
(a) 1
(b) 2
(c) 0
(d) -2
Answer: (d)
Explanation: 
Question 2: 
(a)
(b)
(c)
(d)
Answer: (a)
Explanation:
Question 3: Find the value of 
(a) 0
(b) 2
(c) 4
(d) 8
Answer: (d)
Explanation: I = 
Question 4: Evaluate 
(a) 0
(b)
(c)
(d) None of these
Answer: (c)
Explanation:
Question 5: What is the derivative of 
(a)
(b) 
(c) 
(d)
Answer: (c)
Explanation:
Question 6: Given that I10= 
(a) 9
(b) 10
(c)
(d) 9
Answer: (b)
Explanation: I^10=
Question 7: 
(a) 0
(b) 1
(c)
(d)
Answer: (d)
Explanation: I =
Question 8: 
(a) 0
(b)
(c)
(d)
Answer: (c)
Explanation: I =
Question 9:Calculate 
(a) 0
(b)
(c)
(d)
Answer: (d)
Explanation: Using the formula cos x =
Question 10: 
(a) 2 
(b) 0
(c) 
(d) 
Answer: (c)
Explanation: I = 
I = F(2a) – F(0)