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Integrals

Question
CBSEENMA12032550

If straight f left parenthesis straight x right parenthesis space equals space integral subscript 0 superscript straight x space straight t space sin space straight t space dt comma space space then space straight f apostrophe left parenthesis straight x right parenthesis space is

  • cosx + x sin x

  • x sinx

  • x cosx

  • sinx + x cosx

Solution

B.

x sinx

f(x) = integral subscript 0 superscript straight x straight t space sin space straight t space dt
∴ f '(x) = x sin x       [∴ of first fundamental theorem]

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