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Integrate the following function:

Integrate the following function:-example-1
User JvR
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1 Answer

2 votes

Answer: None of these

Explanation:

First term


\int 12e^(12t) \text{ } dt=12 \int e^(12t) \text{ } dt=e^(12t)+C

Second term


\int \sqrt[3]{27t} \text{ } dt=3\int t^(1/3) \text{ } dt=(9)/(4)\sqrt[3]{t^4}+C

Third term


\int (5)/(t) \text{ } dt=5 \int (1)/(t) \text{ } dt=5\ln t+C

Fourth term


\int 15 \text{ } dt=15t+C

Adding these integrals, we get


\int g(t) \text{ } dt=e^(12t)+(9)/(4)\sqrt[3]{t^4}+5\ln t+15t+C

which matches none of the options.

User StatsViaCsh
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