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  • Please solve RD Sharma class 12 chapter Indefinite Integrals exercise 18.8 question 29 maths textbook solution

Please solve RD Sharma class 12 chapter Indefinite Integrals exercise 18.8 question 29 maths textbook solution

Answers (1)

Answer:

        log\left | 2sin\, x+cos\, x \right |+C

Hint:

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

Given:

        \int \! \frac{-sin\, x+2cos\, x}{2sin\, x+cos\, x}dx                    ....(1)

Explanation:

Let

        2sin\, x+cos\, x=t

        (2cos\, x-sin\, x)dx=dt

From (1)

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

                    =log\left | 2sin\, x+cos\, x \right |+C

Posted by

Gurleen Kaur

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