Definite IntegrationHard

Question

If the value of the integral dx is α, then the value of dx is -

Options

A.e4 - e - α
B.2e4 - e - α
C.2(e4 - e) - α
D.2e4 - 1 - α

Solution

Given dx = α
Now I = dx =
Let I1 = [Put x = et2   so dx = et2 2tdt]
= dt = α
∴   I = 2e4 - e - α

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