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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