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Please solve rd sharma class 12 chapter Indefinite integrals exercise 18.1 question 1 sub question (ii) maths textbook solution

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Answer: \frac{4x^{\frac{9}{4}}}{9}+c

Hint: Use the formula of \int {x^{n}}dx

Given: \int x^{^{\frac{5}{4}}}dx

Solution:\int x^{^{\frac{5}{4}}}dx

                =\frac{x^{\frac{5}{4}+1}}{\frac{5}{4}+1}+c                \left ( \because \int x^{n}dx=\frac{x^{n+1}}{n+1}+c \right )

                =\frac{x^{\frac{5+4}{4}}}{\frac{5+4}{4}}+c

                =\frac{4x^{\frac{9}{4}}}{9}+c

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