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E∫ex(1-x2⋅sin-1x+11-x2)dx = ________. -

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Question

`int "e"^x ((sqrt(1 - x^2) * sin^-1 x + 1)/sqrt(1 - x^2))`dx = ________.

Options

  • `"e"^x sqrt(1 - x^2) + "c"`

  • `"e"^x/(sqrt(1 - x^2)) + "c"`

  • ex sin-1 + c

  • ex cos-1 x + c

MCQ
Fill in the Blanks

Solution

`int "e"^x ((sqrt(1 - x^2) * sin^-1 x + 1)/sqrt(1 - x^2))`dx = ex sin-1 + c.

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