CSAT Suneung · CSAT Mathematics

Integration

13 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 13 questions

  1. Evaluate the definite integral of (2x + 1) from 0 to 3.
  2. Evaluate the definite integral of (4x + 3) from 0 to 2.
  3. Evaluate the definite integral of (6x + 2) from 0 to 4.
  4. Evaluate the definite integral of (2x + 7) from 0 to 5.
  5. What is the value of the integral of x^2 from 0 to 3?
  6. What is the value of the integral of x^3 from 0 to 2?
  7. What is the value of the integral of x^2 from 0 to 6?
  8. What is the value of the integral of x^3 from 0 to 3?
  9. What is the value of the integral of x^4 from 0 to 2?
  10. Find the area of the region bounded by the curve y = x^2, the x-axis and the lines x = 1 and x = 3.
  11. The curves y = x^2 and y = 2x meet at x = 0 and x = 2. What is the area enclosed between them?
  12. A function satisfies f'(x) = 6x^2 - 4x and f(1) = 5. What is f(2)?
  13. A particle starts at rest with acceleration a(t) = 6t. What is its velocity at t = 2?

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