32 (a) Evaluate the integral: dx x² + 4 Your answer should be in the form kT, where k is an integer. What is the value of k? d 1 -arctan(x) dæ Hint: x2 + 1 k

Q: Evaluate the definite integral: 6 1'3 3-r² dr =

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

Q: Find the indefinite integral (tan -1æ}? dx. 1+ x2

A:

Q: 1/6 arcsin (3x) (a) dx%3D V1- 9x? 0.

A:

Q: Evaluate the definite integral: 5 19 1 dx = 4 I-

A: We are required to: Evaluate ∫5191dx

Q: Evaluate the definite integral (exact value): 0. dx = -1/4 V 16 x + 8 x +2

A:

Q: Evaluate the definite integral. dæ

A:

Q: 4. Evaluate the integral below by following a series of steps: 2x +3 J 4x² + 5x + 6 (a) Evaluate f…

A:

Q: Evaluate the integral. 150 dx (x + 1)(x² + 9)²

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Given |(-6x° – 4x + 5x – 3)dx, evaluate the indefinite integral. Do not include +C in your answer.

A:

Q: Evaluate the integral √¹²x² tan¹(x)dx Give your answer correct to 2 decimal places in degrees.…

A: Therefore, the value of the integral is approximately 13.75  degreesExplanation:To solve the given…

Q: Use the substitution a 3 sin t to evaluate the integral f V9 – x² dx.

A:

Q: Evaluate this definite integral using a Geometric Formula: J(8-2x dx

A:

Q: Evaluate the indefinite integral: 1 = x² + 3 √x². x² +9 Note/hint: You may use the answer from an…

A:

Q: Evaluate integral 6x²–2x−1_dx b. S 4x -x

A: To evaluate the following integral. ∫6x2-2x-14x3-x dx

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.