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  • Provide solution for RD Sharma maths class 12 chapter Indefinite Integrals exercise 18.8 question 42

Provide solution for RD Sharma maths class 12 chapter Indefinite Integrals exercise 18.8 question 42

Answers (1)

Answer:

       log\left | sin2x+tan\, x-5 \right |+C

Hint:

        Put denominator=t

Given:

        \int \frac{2cos2x+sec^{2}x}{sin2x+tan\, x-5}dx                .....(1)

Explanation:

Let

        sin2x+tan\, x-5=t

        (2cos2x+sec^{2}x)dx=dt

Put in (1) we get

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

        =log\left | sin2x+tan\, x-5 \right |+C

Posted by

Gurleen Kaur

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