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Evaluate of the Following Integral: ∫ 3 2 Log 3 X D X - Mathematics

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Question

Evaluate of the following integral:

\[\int 3^{2 \log_3} {}^x dx\]
Sum

Solution

\[\int 3^{2 \log_{3^x}} dx\]
\[ = \int 3\log_3 x^2 dx\]
\[ = \int x^2 dx\]
\[ = \frac{x^3}{3} + C\]

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Evaluation of Definite Integrals by Substitution
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Q 1.7
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 1.7 | Page 4

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