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Trigonometric integrals 5 we will also need the indenite integral of secant: Z 2 2 +3z 21 +c 6.
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sin8(3z)cos5(3z) dz sin 8 ( 3 z) cos 5 ( 3 z) d z solution. Z dy y p 4y2 1 3. (f) simplify the function as r ex e x + 1 e dx= r (1 + e x)dx:you can use substitution u= x for the second term. Z dx p 9 x2 4. X3 3 + x2 +x+c. Note that the trigonometric identity is used to convert a power of sinx into a function involving cos2x which can be integrated directly using key point 8.
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4z 6 6 + 7z 3 3 + z2 2 +c 7. X3 3 + x2 +x+c. The idea then is that we want to peel away one of the sin(x) terms and then use the identity sin2(x) = 1 cos2(x) on the ones that are.
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