The integral of the given function § an'x dx is Vsecx tan x tan'x + C a. 3secx tan³x tan²x b. + C 3secx tan³x tanx 5secx d. None of the above C. 3 O A O B

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A: Given query is to find the value of k.

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A: The objective is to solve the above differential equation.

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A: We can find the required answer as below.

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A: We will find the dimensions with the minimum perimeter. 

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A: Explanation of the answer is as follows

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A: Option 4

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A: Let's find.

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A: follow next step

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A: We know, ∫ dx/x = ln|x| + C , C is a constant. ln(a)+ ln(b)= ln(ab) b*ln(a)= ln(a)b  

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A: This question can be solved using the concept of area under curve.