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Class 12

Definite Integrals and Mixed Practice — Quiz

Five questions on evaluating definite integrals and using their properties. Pick one answer for each.

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

  1. Evaluate ∫02(3x2+1) dx\displaystyle\int_0^2(3x^2 + 1)\,dx.
  2. Evaluate ∫0π/2cos⁡x dx\displaystyle\int_0^{\pi/2}\cos x\,dx.
  3. Evaluate ∫−22(x5−3x) dx\displaystyle\int_{-2}^{2}(x^5 - 3x)\,dx.
  4. Evaluate ∫012x(x2+1)3 dx\displaystyle\int_0^1 2x(x^2 + 1)^3\,dx.
  5. Evaluate ∫14xx+5−x dx\displaystyle\int_1^4\frac{\sqrt{x}}{\sqrt{x} + \sqrt{5 - x}}\,dx.
Unanswered questions are marked wrong.

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