find 3 sec“ 3x dx sec4 0 do 41. 42. csc“ 0 do secó x dx 43. 44. 7/4 4 tan³ x dx 6 tan“ x dx 45. 46. -T/4 tan x dx cot 2x dx 47. 48. 8 cot“ t dt cot³ x dx 49. 50. T7/6

Q: 1. Dx[arcsin(2x + 1)]

A:

Q: Exact ODE y'sin2nx-nycos 2rx

A:

Q: 2tanx/1-tanx = 2/cotx-tanx

A: Consider the given trigonometric expression 2 tanx1-tan2x=2cot x-tan x

Q: What is d/dx (x^2 cot x)? Which one is the right answer? Answers: 1. 2x cotx-x^2 csc x 2. 2x…

A: Given: ddxx2 cot x=?   Formula used: Product rule ddx(uv)=vu'+uv'

Q: *T/4 sec² xdx 26. 27. sin xdx TT 28. COS xdx

A:

Q: y = sin z

A:

Q: العنوان solike Ъ sin (3x) cos² (5x) dx 2 8 tan ³ x dx >

A: First, we need to break down the problem into two separate…

Q: /2 sin 2x dx Jo 3+cos (2x)

A:

Q: Evaluate dy/dx at the point (π/2, π/2), if 2 sin^2 x + 1/2 cos y = (3 sin x)^11 . Mention all…

A:

Q: hpxp(₂h + x)us hx [V² [V² Find

A:

Q: aresin (2x-1) = 1-x 2 arctan

A: Substitute x = cos^2(theta) and simplify the equation.

Q: 3 cos° tdt 5. 1+sint

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: x* + 4 dx : %3D 3

A:

Q: (Sin ² x - y) dx - tanx dy =o

A:

Q: @ y = x tan 2x

A:

Q: Let 5 sin⁡x+ 7 cos⁡ y=6. dy/dx= d^2y/dx^2

A: 5sinx+7cosy=6Differentiate w.r.t x5cosx-7sinydydx=05cosx=7sinydydxdydx=5cosx7siny

Q: | sint x cosºx dx

A: Note: We shall answer the first question only as the exact one is not specified. Please resubmit the…

Q: Find dy/dx

A:

Q: Differentiatey = [3 sin x-2cos (2x)]²

A:

Q: 8. Find if y (sin x + cos x) sec x dx

A:

Q: 1+sin θ=(sec θ-tan θ)^2 +1

A: To evaluate theta.

Q: 2e3* sin 2x dx

A:

Q: Find if cot x +1 = sin y

A: Given, cot x + 1= siny

Q: tan² (x) sec¹(x) dx.

A: Given, ∫tan2(x)sec4(x)dx

Q: Find and if dy dx² dy dx = 5 sec 0 and y = 5 tane

A: Given: x=5secθy=5tanθ

Q: Evaluate. (use C for aonstant of intgration) dx 2 X "- 3

A: