GATE CE 2017 Set 1 — Question 3
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Engineering Mathematics → Calculus → Definite & Indefinite Integrals
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Question
Let be a continuous variable defined over the interval , and . The integral is equal to
Correct answer
(B) e^-e^(-x)
Solution
To evaluate the integral , we can rewrite the integrand as:Let . Then, the derivative is .
Substituting these into the integral:Substituting back for :Comparing with the options, the correct form is .
Substituting these into the integral:Substituting back for :Comparing with the options, the correct form is .
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