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JamesGoh
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What is the indefinite integral of [itex]cosec(\theta)[/itex]?
The indefinite integral of csc(x) is -ln|csc(x)+cot(x)| + C
The derivative of csc(x) is -csc(x)cot(x)
One way to integrate csc(x) is by using the trigonometric identity csc(x) = 1/sin(x). Then, the integral becomes 1/sin(x) dx, which can be solved using u-substitution or by rewriting it as an integral of sec(x) dx.
No, the integral of csc(x) cannot be expressed in terms of elementary functions. It must be expressed using the natural logarithm function.
The graph of the indefinite integral of csc(x) is a curve that approaches infinity as x approaches 0 or π, and approaches negative infinity as x approaches π/2 or 3π/2. It also has vertical asymptotes at these points.