S A. sinxcosxdx √esc²x-1 2 B. 7 COS X 7 5 COS X 5 5 cos³x x + C X 5 7 COS X 7 +C C. D. sin7 x 7 5 sin x 5 sin x 5 sin¹ x 7 +C +C

Q: Find the expression , identical go Cat (9x) the given a. sin 46x) - sinx Cos x - sin(16x) b. cos…

A: Expression of cot(9x) : See all the options And use the trigonometric formula .

Q: Jx sin 8xdx is O a. -xcos 8x sin 8x + 64 O b. - xcos 8x sin 8x 8 64 O C. xcos 8x sin 8x 8 +c 64 O d.…

A: ∫x sin8x dx On integrating by parts, we get ∫x sin8x dx=x·∫sin8x dx-∫dxdx·∫sin8x dx…

Q: Prove that eax (a cos bx +b sin bx) + C. ax cos bxdx %3D a2 + b2

A: ∫eaxcosbxdx=eaxacosbx+bsinbxa2+b2+C

Q: 4. sin 3x+cos 3x cos x-sin x = 1+ 4 sin x cos x

A:

Q: 2 cos² x√4 tan x S tan² x dx

A:

Q: From the list below find the expression, identical to the given. tan 4x sin 8x + sin 3x cos 3x + cos…

A:

Q: |csc?x cos. Evaluate O csc³x + C CSc x + C O - csc x + C O -sin x + C

A:

Q: sinx S- cos?x+ 6cosx+13 O In cosx+3-Vcos²x+6cosx+13|+C O In cosx+3+/cos²x+6cosx+ 13 O…

A: To find:

Q: x sin 7xdx is a. xcos 7x sin 7x 7. 49 b. xcos 7x sin 7x +. 7. 49 xcos 7x sin 7x +C 7 C. d. xcos 7x…

A: Integral problem

Q: A. cos 2A = cos² A-sin² A B. cos 2A = (cos A - sin A) (cos A + sin A C. cos 2A = 2 cos² A-1 D. cos…

A:

Q: Evaluate sin (; - i In v2) cos(; - i In i ln v2) i In /2) cos o (3/4)i o (3/8)i o 5/8 o 5/4

A:

Q: If fx sin x cosxdx A+B?

A: Given : ∫xsinxcosxdx=12xsin2x+Ax+Bsin2x+C then we have to calculate the value of A+B.

Q: 1 1. Use basic identities to simplify the expression secx cos x + cos x secx

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Question 6 |5x sinx dx = 5x cosr +5 sinx +c OA. 5x cosx -5 sinx +c В. OB. -5x cosx +5 sinx +c Oc.…

A:

Q: Verify. a. (2 tan x ) / (1 + tan2 x) = sin(2x) b.  1 / (1 − sin θ) + 1 / (1 + sin θ) = 2 sec2 θ c. 1…

A: Part a)Given:

Q: Evaluate sin 4t sin 2tdt. O a 1 sin 2t - 12 c0s 4 cos 6t + C Ob.1 1 sin 2t sin 6t + C 12 Ос. 1 sin…

A: ∫sin(4t) sin(2t) dt Here use formula sin(A)·sinB =cosa-b-cosa+b2 Here A=4t , B=2t  sin4t·sin2t…

Q: Which one of the following is not equal to cos 4x for all real values of x?«- A sin? 2x – cos? 2x+ В…

A: Evaluating each of the options given

Q: If f x sin x cos x dx =xsin?x + Ax + B sin 2x + C, what is the value of A + B? ` 1 1 8. 1 4

A: Solve by parts method of integration.

Q: 8x O B. [5 sin 5x + 8 cos 5x] + C 89

A: The given integral is, '

Q: Which of the following expressions is equivalent to 2 sin x cos x 2 sec z seca 2 cos x COST 1 + sin…

A:

Q: Il Simplify the fractional expressions to lowest terms. A. For numbers 1-3, factor each expression…

A:

Q: Simplify. 1+ sin 2x+ cos 2x COS X O A. 2(sinx+ cos x) O B. 2 tan x O C. 2 cot x O D. 2(sin x- cos x)

A: We have to silmplify

Q: If the population of a country is 100 million people and the population is increasing exponentially…

A:

Q: Evaluate A2 (sin x) O A. sin(x + 2h) – sin(x + h) + 2 sin x O B. sin(x + h) – sin x O C. sin(x + 2h)…

A: We  need to evaluate ∆2(sinx) The solution is explained below.

Q: Evaluate sin z -dx /4 - coS I

A: Use the substitution method and first simplify the integration than integrate.

Q: Simplify 4 sin x cos + 2

A:

Q: Evaluate [ (cos² 0 + 2 csc² 0 + sin² 0) do .

A:

Q: fan? 2 3 sin n x cos xdx

A:

Q: 8. Cos 5.83*3-7

A: To find: cos-1(85.83×3.7)

Q: B sin 5x+ sin 3x 1 sin 5x+-sin 3x+c 6 I 10 fcos 4x cos.x dx = ?

A: Given :∫cosxcos4xdx