Evaluate the dx sin 3x + c tan Vr2-3-V3 tan V3 - sin3x+c

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A: I have stated the used formulas in the solution

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A: Here is the solution

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A: Given query is to find the derivative of the expression.

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A: We use integration by parts to find integral tan inverse x.

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A: Use substitution method to solve this

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Q: (B) Evaluate | tan (5x +1) sec³(5x +1) dx

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A: We have to find the integration and also find the limit in the second question.

Q: 2) [ tan' (-) sec" () dx , 3) | 3) T5x+4 dx, 1) sin-1x dx , tan () sec? V5x +4

A: Since the question contains multiple part we can solve only first 3 for you. If you want any…

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A: Let's find.

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A: We will start with the substitution, cos(5x+1) = t  And proceed as follows :

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Q: Find y' i.y = sin(2x² + tan(6x² – x)) ii.y = sin(2x² + tan(x – 1))

A: We have to differentiate the given functions