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Provide solution for RD Sharma maths class 12 chapter Indefinite Integrals exercise 18.8 question 34

Answers (1)

Answer:

        -log\left | 1+cot\, x \right |+C

Hint:

        \frac{\mathrm{d} }{\mathrm{d} x}cot\, x=-cos\, ec^{2}x

Given:

        \int \! \frac{cos\, ec^{2}x}{1+cot\, x}dx                                .....(1)

Explanation:

Let

        1+cot\, x=t

        -cos\, ec^{2}xdx=dt

From (1)

        -\int \! \frac{dt}{t}=-log\left | t \right |+C

        =-log\left | 1+cot\, x \right |+C

Posted by

Gurleen Kaur

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