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Question

Evaluate:

\[\int\frac{1}{a^x b^x}dx\]

Sum

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Solution

\[\int\frac{dx}{a^x b^x}\]
\[ = \int\left( a^{- x} b^{- x} \right)dx\]
\[ = \frac{a^{- x} b^{- x}}{- \log_e \left( ab \right)} + C\]

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Evaluation of Definite Integrals by Substitution

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Chapter 19: Indefinite Integrals - Exercise 19.01 [Page 4]

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RD Sharma Mathematics [English] Class 12

Chapter 19 Indefinite Integrals
Exercise 19.01 | Q 4 | Page 4

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