Evaluate : (i) Find the value a such `int_(0)^(a)(1)/(e^(x)+4e^(x)+5)dx = ln 3sqrt(2)`. (ii) Find the value of `int_(0)^((pi//2)^(1//2))x^(5).sinx^(3)

Question

Evaluate : (i) Find the value a such `int_(0)^(a)(1)/(e^(x)+4e^(x)+5)dx = ln 3sqrt(2)`. (ii) Find the value of `int_(0)^((pi//2)^(1//2))x^(5).sinx^(3)

Evaluate :
(i) Find the value a such `int_(0)^(a)(1)/(e^(x)+4e^(x)+5)dx = ln 3sqrt(2)`.
(ii) Find the value of `int_(0)^((pi//2)^(1//2))x^(5).sinx^(3)dx`

Monjur Alahi

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2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - (i) `ln 11` , (ii) `1/3`

4 views Answered 2023-02-05 15:29