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Answer to Question #5276 in Calculus for Jillian

Question #5276
Evaluate:
1. integral 4tan^(2)2x + 4tan2x -5 dx / cos^(2)2x (tan2x-1) ( "/" means over)
2. integral 2xcsc^2 x^2 tanx^2 dx / 5+3tan^2x^2
3. integral sinx cosx sq.root 1+4sinx dx
Expert's answer
1 integral =
<img src="data:image/png;base64,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" alt="">
2 integral =
<img src="data:image/png;base64,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" alt="">
3 integral =
<img src="data:image/png;base64,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" alt="">

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Comments

Assignment Expert
25.11.11, 17:02

You are welcome

Jill
25.11.11, 16:34

thank you...

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