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  • explain solution rd sharma class 12 chapter Indefinite integrals exercise 18.1 question 1 sub question (iii) maths

explain solution rd sharma class 12 chapter Indefinite integrals exercise 18.1 question 1 sub question (iii) maths

Answers (1)

Answer: \frac{-1}{4x^{4}}+c

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

Given: \int \frac{1}{x^{5}}dx

Solution: \int \frac{1}{x^{5}}dx =\int x^{-5}dx

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

 

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

=\frac{-1}{4x^{4}}+c

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