Integral with a sum or difference of square roots in the denominator: rationalise
This type of question, asked 3 times: 31 Jan 2023, 27 Jan 2024, 2 Apr 2025. All 3 questions below, oldest first.
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Question 1
31 Jan 2023
153Let α>0. If ∫0αx+α−xxdx=1516+202, then α is equal to:
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Question 2
27 Jan 2024
69If ∫013+x+1+x1dx=a+b2+c3, where a,b,c are rational numbers, then 2a+3b−4c is equal to :
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Question 3
2 Apr 2025
1384∫01(3+x2+1+x21)dx−3loge(3) is equal to:
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