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CBSE Class 12 Math 2020 Delhi Set 2 Solved Paper

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Question : 2 of 11
Marks: +1, -0
∫4x3xdx\int4^x 3^x dx equals
Solution:  
Let,
I=∫4x3xdxI=\int4^x 3^x dx
⇒    I=∫12xdx\Rightarrow \;\; I=\int12^x dx
⇒    I=  12xlog⁡12+C\Rightarrow \;\; I=\; \frac{12^x}{\log 12}+C
      [∵∫axdx=  axlog⁡x+C]\; \;\; \left[ \because \int a^x dx = \; \frac{a^x}{\log x}+C \right]
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