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Question

π/6π/4cosec x dx

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Solution

Let I=π6π4cosec x dx. Then,I=π6π4cosec x cosec x-cot xcosec x-cot x dxI=π6π4cosec2 x-cosec x cot xcosec x-cot x dxI=log cosec x-cot xπ6π4I=log 2-1-log2-3

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