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NAME THE KEYWORD OR THE METHOD

Explore advanced integration methods such as trigonometric substitution, u-substitution, and partial fractions. Master key formulas for efficient problem-solving in calculus. Enhance your calculus skills with these life-saving principles.

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NAME THE KEYWORD OR THE METHOD

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  1. NAME THE KEYWORD OR THE METHOD

  2. Keywords: Life-Saving Principle I and the natural log function

  3. Keywords: Inverse tangent function

  4. Keywords: Trig substitution leading into the natural log function, or just use the standard formula.

  5. Keywords: Trig substitution leading into the natural log function, or just use the standard formula.

  6. Keywords: Inverse sine function

  7. Keywords: u-substitution . The trig substitution is not necessary, but still will work.

  8. Keywords: Long Division and inverse tangent

  9. Keywords: Trig substitution Now use Integration by Parts and continue

  10. Keywords: Trig substitution Now use Integration by Parts on the remaining integral

  11. Keywords: Partial Fractions! This is because the denominator breaks into factors.

  12. Keywords: Long division followed by Life-Saving Principle I. Partial Fractions is really not be needed.

  13. Keywords: Completing the square, and the inverse tangent.

  14. Keywords: Life-Saving Principle I, leading to the natural logarithm. Partial Fractions are not needed!

  15. Keywords: Partial Fractions

  16. Keywords: Break the integral. Then use Life-Saving Principle I and inverse tangent

  17. Keywords: Break the integral. Then use u-substitution (or candidate method) and a trig substitution (or the standard formula with natural log function)

  18. Keywords: Use a u-substitution or the candidate function method.

  19. Keywords: Use the trig substitution . There is no radical term, but still this substitution really works! Now continue using one of the Double Angle formulas for the cosine

  20. Keywords: Use the trig substitution

  21. Keywords: Use a u-substitution or the candidate function method. The trig substitution is not necessary.

  22. Keywords: Use the trig substitution Now use Integration by parts and continue.......

  23. Keywords: Use the trig substitution Now use Integration by parts and continue.......

  24. Keywords: Use Partial Fractions. Since the denominator breaks into factors, this method is better than attempting to complete the square.

  25. Keywords: Life-Saving Principle I, leading to the natural logarithm function. Partial Fractions are not needed, even if the denominator breaks into factors!

  26. Keywords: Partial Fractions are needed!

  27. IT IS CRUCIALTO MEMORIZE THE FOLLOWING FIVE FORMULAS....

  28. MEMORIZE!

  29. LIFE-SAVING PRINCIPLE I

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