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Integration of Trigonometric Functions and Partial Integrate

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Use partial decomposition to integrate.

(2x^2-x-20)/(x^2+x-6 )

(sint)(4cos^2t-1)/(cost)(1+2cos^2t+cos^4t)

(x+pi )/(x^2-3pix+2pi^2)

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Solution Summary

Integration of trigonometric functions and partial integrations are examined.

Solution Preview

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Problem 1

(2x^2-x-20) = 2 - 3x+8
(x^2+x-6 ) (x^2+x-6 )

2 - 3x+8
(x + 3)(x-2)

Taking
3x+8 = 1 + 14
(x + 3)(x-2) 5(x+3) 5(x-2)

substituting we get

2 ...

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