Page 74 - Mathematics Class - XII

Viva-Voce

a
∫
1. What is the value of fx dx() ?
a
Ans. If the upper and lower limits are the same then the integral is zero.
2. If we interchange the limits of a definite integral does it change the integral?
Ans. Interchanging the limits of any definite integral, does not change the absolute value but change the sign
of integral.
b
3. What is the integrand in 1 xdx ?
2
a
Ans. Integrand is the function which is to be integrated. Here it is 1− x .
2
a
4. Find the value of a, if 4xdx 16
3
0
a 4x a 4 a 4 40

4
4

a
Ans. 4xdx 16 16 16 a 16 2..
3
4
0 4 0 4 4
MCQs

4 dx
1. The value of ∫ is

1 x
a) 3 b) 1 c) 2 d) 0
3 x
∫
2. The value of edx is
3
0
a) 2 (e – 1) b) (e – 1) c) 3 (e – 1) d) 5 (e – 1)
9
3. The value of ∫ xdx is
4 43
a) 37 b) 35 c) 38 d)
3 3 3 3
a
∫
4. The value of xdx is
2
0
a 3 2 4
a) b) c) 3a 2 d)
3 3a 2 3a 2
a dx
5. The value of is
2
0 a x 2
p p p
a) b) c) d) p
3 4 2

Answers: 1. c) 2 2. c) 3 (e – 1) 3. c) 38 4. a) a 3 5. c) p
3 3 2
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