which u-sub will help integrate this? A. u = dx 11 [arctan(x)]" dæ = [9 + 12 cos(x)]" B. u 9+ 9x2 C. u = arcsin(x) D. u = arctan(x)

Q: Find dy/dx in terms of z and y if cos² (3y) + sin² (3y) = y + 15. I

A:

Q: 2- 1- 3一寸

A:

Q: (h) (1 – cos² r) (1+ cot? r) = 1 %3D

A: you can clearly understand if you follow the below solution

Q: 38. Differentiate y = 2 cos² - a. – sint b. - sin 2t C. - sin - d. sin-

A: Differentiate y=2cos2t2

Q: Which of the following is equal to J: x2 dx ? A. sin-1 (t) + € B. sin- (t) + € Option 1 O Option 2…

A:

Q: Integrate the following functions [(-2x² – 9x – 7)dx [(4x° – 9)* (20x“ )dx. i. ii. ji.

A:

Q: Find d coscrin' (-2] the exact value

A: Find the exact value cossin-25.

Q: 1. A. f sin 2x cos 5x dx B. f cos 2x cos 3x dx c. ftan³x sec5x dx

A:

Q: 3. Find S sin5 x cos* x dx.

A: Use substitution method

Q: 2 Ix sin'x COS X x² 2. (x sin?x? cos x? dx

A: ∫ xsin3x2cosx2dx

Q: 2. Is trigonometric substitution needed to evaluate /9 - x² dx?

A:

Q: I = sin³x cos³x dx

A: Given the integration : ∫sin3 xcos3 xdx

Q: If f is an even function, then f1 exists. True False

A: To determine whether the given statement is true or false.

Q: y = (cos(3x))*

A:

Q: dy (2x sin h -+3y cos h -) dx Зх cos h - 2 tan h 3 + ||

A: According to the trigonometric hyperbolic formula: tanh(x)=sinh(x)cosh(x)        ...(i) Distributive…

Q: General Sol. of  y' tanxsin2y= sin2x+sin2y is

A:

Q: 大 1-cos X P-V= 2

A:

Q: What is the period of the function y = 2 sin x + cos 2x?

A: Given function, y = 2 sin x + cos 2x

Q: 'ain(t -플)') co여(t- dt

A:

Q: 1. / cos" (2t) sin² (2t) dt

A: 1.

Q: Graph the epitrochoid with equations x  =11 =cos t - 4 cos(11t/2), y = 11 sin t - 4 sin(11t /2)

A:

Q: dy Q5/ a) Find 2 if y = esin (2x) dx

A:

Q: Evaluate the following. (a) / (8* + 2 (b) / .3 s - 5e ) da ec" x - sin vx dx 218

A: use the basic property of integral and substitution method to solve this integral.

Q: T/4 sin2 x 2. :- cos? dx CoS2 COS x 7/4

A: To find the value of the given integral.