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Paul's Online Notes
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Home / Calculus I / Integrals / Computing Definite Integrals
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Section 5.7 : Computing Definite Integrals

  1. Evaluate each of the following integrals.
    1. cos(x)3x5dx
    2. 43cos(x)3x5dx
    3. 41cos(x)3x5dx
    Solution

Evaluate each of the following integrals, if possible. If it is not possible clearly explain why it is not possible to evaluate the integral.

  1. 6112x39x2+2dx Solution
  2. 125z27z+3dz Solution
  3. 0315w413w2+wdw Solution
  4. 418t12t3dt Solution
  5. 2117z+3z2412z3dz Solution
  6. 42x6x4+1x2dx Solution
  7. 14x2(34x)dx Solution
  8. 122y36y2y2dy Solution
  9. π207sin(t)2cos(t)dt Solution
  10. π0sec(z)tan(z)1dz Solution
  11. π3π62sec2(w)8csc(w)cot(w)dw Solution
  12. 20ex+1x2+1dx Solution
  13. 257ey+2ydy Solution
  14. 40f(t)dt where f(t)={2tt>113t2t1 Solution
  15. 16g(z)dz where g(z)={2zz>24ezz2 Solution
  16. 63|2x10|dx Solution
  17. 01|4w+3|dw Solution