(C) EXERCISES Evaluate the following integrals: 1. tan² x dx 2. cot cot² r dr COS I da sin x COST sin² 2 3. 4. 5. S da sin a cos² x +x dr (sin u + u) du [(sin u [(1-co - cos v) du 1 Jse - dy sec y tan y 1 ·S= sin²r cos²x 6. 7. *8. *9. Answer: -cos y + C da Answer: -cotr + tanr+C

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Q: dx 1-x² -2

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Q: Integration by Parts 4. fxe4x dx 5. [ e* cosx dx

A: This question can be solved using the concept of integration by parts.

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A: we have to find derivative.

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A: This is a problem related to integration. Based on the general formula we will solve the problem.

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A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 1 8x 16-x², dx

A: We can explain the answer for you in the following steps.

Q: 18) fin

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A: This question is related to Indefinite integration, we will solve it using given information.

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A: Given circle , With center at origin (0,0) And a point on circle is (4,3)

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A: Solution of given question is written in below steps.

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A: The given integral,  ∫sin-1x dx

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A: Given that    f(x) = (3x2-20x+25)/(2x2+1x-1)

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A: Let's find.

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A: We have to find integration of given trigonometric term.

Q: Question 8 3 (2x+4)³-8 } is

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Q: dx secx+1

A: Given ∫dxsecx+1We do half angle substitution:=∫1tan2(x2)+11-tan2(x2)+1dxSubstitute…

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A: I have appended the formula used in the solution part.

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