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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 = ex2e ^ { x ^ { 2 } } , 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.