Q.2 (iii) Evaluate : displaystyle∫5^x/3^x dx

Answer: (5/3)^x/log(5/3)+c displaystyle∫5^x/3^xdx=∫(5/3)^xdx=(5/3)^x/log5/3+c , using displaystyle∫ a^xdx=a^x/log a+c .

Chapter: Indefinite Integration· Mathematics & Statistics Part 2

Evaluate : \(\displaystyle\int\dfrac{5^x}{3^x}\,dx\)

Q.2 (iii) Evaluate : \(\displaystyle\int\dfrac{5^x}{3^x}\,dx\)

Doubtly Asked 29 Oct 2026 Board exam · July 2024 hsc 12th Save WhatsApp Report

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Answer: \(\dfrac{(5/3)^x}{\log(5/3)}+c\)

\(\displaystyle\int\dfrac{5^x}{3^x}dx=\int\left(\dfrac53\right)^xdx=\dfrac{\left(\frac53\right)^x}{\log\frac53}+c\), using \(\displaystyle\int a^xdx=\dfrac{a^x}{\log a}+c\).

Doubtly AI · 29 Oct 2026 AI-generated · not yet verified Report

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Evaluate : \(\displaystyle\int\dfrac{5^x}{3^x}\,dx\)

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