∫(sin-1x+cos-1x)dx = ______. - Mathematics and Statistics

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MCQ
Fill in the Blanks

`int (sin^-1 sqrt(x) + cos^-1 sqrt(x))dx` = ______.

Options

  • `(πx)/2 + c`

  • `(πx)/4 + c`

  • x + c

  • πx + c

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Solution

`int (sin^-1 sqrt(x) + cos^-1 sqrt(x))dx` = `underlinebb((πx)/2 + c)`.

Explanation:

`int (sin^-1 sqrt(x) + cos^-1 sqrt(x))dx`

= `int π/2 dx`

= `π/2(x) + c`

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