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1-sin-3-x-dx-




Question Number 133117 by SOMEDAVONG last updated on 19/Feb/21
∫(1/(sin^3 x))dx=?
$$\int\frac{\mathrm{1}}{\mathrm{sin}^{\mathrm{3}} \mathrm{x}}\mathrm{dx}=? \\ $$
Answered by bemath last updated on 19/Feb/21
= −(1/2)cot x csc x −(1/2)ln ∣sec x−cot x∣ + C
$$=\:−\frac{\mathrm{1}}{\mathrm{2}}\mathrm{cot}\:\mathrm{x}\:\mathrm{csc}\:\mathrm{x}\:−\frac{\mathrm{1}}{\mathrm{2}}\mathrm{ln}\:\mid\mathrm{sec}\:\mathrm{x}−\mathrm{cot}\:\mathrm{x}\mid\:+\:\mathrm{C} \\ $$

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