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Solve

cot 12x csc 2x dx

Determine the change of variable from x to u. Choose the correct answer below:

u = cot 12x

u = csc x

u = csc

u = cot x

Write the integral in terms of u.

cot 12x csc 2x dx = Ic

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Transcript

in this problem we have to determine a change of variable from X to you into the given indefinite integral. So the indefinite integral is court our 12 X. And Kosik squared X dx. We have to solve this by changing the variable from X to you to solve this to solve this first we will substitute here substitution. That is substitute you equal part X. So this is the U substitution. And in the given options this is given in absentee. Now we will write the given integral into the term. A few. So integral in terms of you. No, if we have U equal part X. Bu bye D. Axis D by dx card X. So we know that derivative of court axis minus cosine X square X bu bye B axis minus Cosecha is square X. So this is equal to D’you equal minus Grosek Squire X dx or Kosek Squire X dx is equal D. You minus deal. Now we will convert the given integral in terms of…

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