Integral of sin^2x*cos^2x | Calculus 2 Exercises

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We calculate the integral of sin^2xcos^2x using power reducing formulas to turn it all into cosines. There is some cancellation, a second application of the power reducing formula, and then it's straightforward. Integrating powers of sine and cosine is great fun, as you can see! #calculus2 #calculus

sin^2x=(1-cos2x)/2
cos^2x=(1+cos2x)/2

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Can you help me do
Integrate 2 sin 2x over 1 + cos x

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can you solve this?
Given z=50/(3+4i) find the form a+ib, where a, bϵ R
Z
Z2
Find |z| using z from (a)
Find arg z, giving your answer in degrees to 1 decimal place

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