The list of indefinite integration problems of trigonometric functions with step by step process of solution.

Evaluate $\displaystyle \int{\dfrac{\cos{x}-\cos{2x}}{1-\cos{x}}\,}dx$

Evaluate $\displaystyle \int{\dfrac{1}{1+2\sin{x}} \,} dx$

Evaluate $\displaystyle \int{\dfrac{\sin{x}}{\sin{x}+\cos{x}} \,} dx$

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