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EVALUATION OF INTEGRALS OF THE FORM∫sin⁡mx .cos⁡nx dx,∫sin⁡mx .sin⁡nx dx , ∫cos⁡mx .cos⁡nx dx AND ∫cos⁡mx .sin⁡nx dx
To evaluate this type of integrals we use the following trigonometrical identities to express the products into sums.
2 sin⁡A cos⁡B=sin⁡(A+B)+ sin⁡(A-B)
2 cos⁡A sin⁡B=sin⁡(A+B) - sin⁡(A-B)
2 cos⁡A cos⁡B=cos⁡(A+B) + cos⁡(A-B)
2 sin⁡A sin⁡B=cos⁡(A-B) - cos⁡(A+B)


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