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Which of the following is true? -

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Question

Which of the following is true?

Options

  • `int_0^1 xsqrt(x) "d"x = 5/3`

  • `int_0^1 xsqrt(x) "d"x = 2/5`

  • `int_0^1 xsqrt(x) "d"x = 7/2`

  • `int_0^1 xsqrt(x) "d"x = 7/5`

MCQ

Solution

`int_0^1 xsqrt(x) "d"x = 2/5`

Explanation:

`int_0^1 xsqrt(x)"d"x = [2/5 x^(5/2)]_0^1 = 2/5`

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