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Section 5.4 : More Substitution Rule

Evaluate each of the following integrals.

  1. 45+9t+12(5+9t)7dt Solution
  2. 7x3cos(2+x4)8x3e2+x4dx Solution
  3. 6e7w(18e7w)3+14e7w18e7wdw Solution
  4. x47x5cos(2x6+3)dx Solution
  5. ez+4sin(8z)1+9cos(8z)dz Solution
  6. 20e28w1+e28w+7w363wdw Solution
  7. (4+7t)39t45t2+3dt Solution
  8. 6xx2x39x2+8csc2(3x2)dx Solution
  9. 7(3y+2)(4y+3y2)3+sin(3+8y)dy Solution
  10. sec2(2t)[9+7tan(2t)tan2(2t)]dt Solution
  11. 8w4w2+9dw Solution
  12. 7x+2125x2dx Solution
  13. z7(8+3z4)8dz Solution