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Class 12

Special Forms, Partial Fractions and Integration by Parts — Quiz

Five questions on special forms, partial fractions and integration by parts. Pick one answer for each.

5 questions, one mark each. 3 to pass. Suggested time: 10 minutes. Your answers are not recorded.

  1. ∫dxx2+16\displaystyle\int\frac{dx}{x^2 + 16} equals
  2. ∫dx9−x2\displaystyle\int\frac{dx}{\sqrt{9 - x^2}} equals
  3. In 3x+1(x−1)(x+2)=Ax−1+Bx+2\displaystyle \dfrac{3x + 1}{(x - 1)(x + 2)} = \dfrac{A}{x - 1} + \dfrac{B}{x + 2}, the value of AA is
  4. ∫xex dx\displaystyle\int xe^x\,dx equals
  5. ∫ex(cos⁡x−sin⁡x) dx\displaystyle\int e^x(\cos x - \sin x)\,dx equals
Unanswered questions are marked wrong.

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