Definite IntegrationHard
Question
The value of integral 
dx, a < b is :
dx, a < b is :Options
A.b - a if a > 0
B.a - b if b < 0
C.b + a if a < 0 < b
D.| b | - | a |
Solution
Case-I 0 < a < b
∴ |x| = x
then
dx = b - a
Case- II a < 0 < b
then
= a + b
Case-III a < b < 0
then
= a - b
∴
= | b | - | a |
∴ |x| = x
then
dx = b - aCase- II a < 0 < b
then
= a + bCase-III a < b < 0
then
= a - b∴
= | b | - | a | Create a free account to view solution
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