QUESTION 3 a) Evaluate |x2 In | x+1| dx by using integration by parts. b) Use the trigonometric substitution x 2 sin0 to evaluate 4-x² c

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A: Note: The given question is not in the type of subparts. As per our company guidelines, we are…

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A: The given equation is 3x+1-sinx=0. It can be seen that f0=1&gt;0 and f-π=-3π+1&lt;0.

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A: Here we to solve definite integral.

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Q: Solve the trigonometric equations for 0 ≤ x ≤ 2π a. Tanx = √3/3 b. Cos x =  -½ c. Sin x = ‐ √3/2…

A: Since you have posted a question with multiple sub-parts, we will solve only first three sub-parts…

Q: Question 2 (1 point) sin (tan (x) O a) Væ2+1 /x²+1 O b) Væ2 +1 O c) x O d) Væ²+1

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Q: Evaluating √9-x² dx using trigonometric substitution will lead to: **/2 Ⓒ 18/¹/2 (A) sin²0d0 0 **/2…

A: See the details solution in below