Consider the following function. x³ √√²-2² 36 dx (a) Determine an appropriate trigonometric substitution. π Use x = 6 sin(8), where - SO≤ 2 Use x = 6 tan(8), where π 2 TL ST 2 π O Use x = 6 sec (0), where 0 ≤ 0 <- since the integrand contains the expression √6²-x². 플 since the integrand contains the expression √6² - x². 3π orn S or π ≤ 0 < 37, since the integrand contains the expression √√6² - x². (b) Apply the substitution to transform the integral into a trigonometric integral. Do not evaluate the integral. x³ √√²--|( dx = /([ 36 de

Q: Differentiate the given sin (x² +1) 2 X

A: Sin(x2+1) To differentiate the given function

Q: sin (x²)dxdy y

A: We will solve this question by change of order of integration.

Q: Evaluate -1 d sin x dx -1 tan X Do not simplify at all.

A:

Q: Describe why the statement is incorrect

A:

Q: Ptz 1. sin x secx = tanx 2. cos² x-sin2x-1-2 sin²x Pt₂

A:

Q: 1. sin (-x)(sin(-x) + 1)

A: Given; Sin(-x)[Sin(-x)+1].

Q: sec" (*) 1 - tan?(x) cos? (x) %3D sin(x) + sin(x) sin“ (æ) – cos“ (x) = -

A:

Q: 19. List the three smallest positive x-intercepts of the function y = 4 sin ¹ [2 (x + 1)]. Give…

A:

Q: 1 dx 3 (4-x²) ³/2

A: