\int 4^x 3^x \dx equals

(\frac{4^x \cdot 3^x}{\log 4 \cdot \log 3}) +C

CBSE Class 12 Math 2020 Delhi Set 2 Solved Paper - Question 2

Question : 2 of 11

Marks: +1, -0

∫ 4^x 3^x \dx

equals

Solution:

Let,

I=∫ 4^x 3^x \dx

⇒ \;\; {\I}=∫ 12^x \dx

⇒ \;\; {\I}=\;{12^x}/{\log 12}+ {\C}

\; \;\; [ ∵ ∫ a^x \dx=\;{a^x}/{\log x}+ {\C}]

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