Integral Practice |
Integrate these expressions.
State what technique(s) of integration you use and/or
What category fits the integrand for trig integrals
Which substitution to use for inverse trig integrals.
QUESTIONS
1/ ° sin 4A cos 2 A dA | 2/ ° x sin 3 x 2 cos 2 x 2 dx |
3/ ° secA tan 3 A dA | 4/ ° tan 3 A dA |
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SOLUTIONS
1) Even powers of sine and cosine. | 2) Odd power of sine. |
3) Odd power of tan. | 4) Odd power of tan. |
5) Substitute . | 6) Trig substitution . |
7) Trig substitution . | 8) complete the square and trig sub. |
9) Integration by parts. | 10) Partial fraction decomposition. |
11) Partial fraction decomposition. | 12) Partial fraction decomposition. |
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(all content of the MathRoom Lessons © Tammy the Tutor; 2002 - 2005).