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Class 12

Indefinite Integrals and Substitution — Quiz

Five questions on standard integrals, substitution and trigonometric identities. Pick one answer for each.

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

  1. ∫(6x2−4x+3) dx\displaystyle\int(6x^2 - 4x + 3)\,dx equals
  2. ∫3x2cos⁡(x3) dx\displaystyle\int 3x^2\cos(x^3)\,dx equals
  3. ∫(2x+5)4 dx\displaystyle\int(2x + 5)^4\,dx equals
  4. ∫cos⁡2x dx\displaystyle\int\cos^2 x\,dx equals
  5. If f′(x)=4x3+2f'(x) = 4x^3 + 2 and f(0)=5f(0) = 5, find f(1)f(1).
Unanswered questions are marked wrong.

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