Question
Question: Area bounded by the curve y = \(e ^ { x ^ { 2 } }\) , x-axis and the lines x = 1, x = 2 is given to...
Area bounded by the curve y = ex2 , x-axis and the lines x = 1, x = 2 is given to be equal to 'a' sq. units. Area bounded by the curve y = y-axis and the lines y = e and y = e4 is equal to
A
e4− e − a
B
2e4− e − 2a
C
2e4− 2e − a
D
2e4− e − a
Answer
2e4− e − a
Explanation
Solution
∆1 = a (given), and we have obtained ∆2 .
∆2 = ∆AGFE + ∆ABCD − a
= (e4 – e). 1 + (2 − 1)e4 − a
= 2e4 – e – a.
