Use reduction formulas to evaluate the integrals $\int 8 \cot ^{4} t d t$
Added by Eric B.
Step 1
First, we can use the identity $\cot^2 t = \csc^2 t - 1$ to rewrite the integrand as: $$8 \cot^4 t = 8 \cot^2 t \cdot \cot^2 t = 8 \cot^2 t \cdot (\csc^2 t - 1)^2$$ Expanding the square and simplifying, we get: $$8 \cot^4 t = 8 \cot^2 t \cdot (\csc^4 t - 2 Show more…
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