+ sin? x sec? xdx, 1.

Q: If y = tan-1 xy and (x = 2, y = 3) y will be equal to?

A: See the attachment

Q: sin?x y2 2cosx + C

A: L

Q: 2.Find if. y? +x? = sin(xy) using implicit derivation

A:

Q: Find y' at the point (6, 6) where x sin(x? – y²) + 33 = x? – 3.

A:

Q: cos ydy sin2y+5sny+6

A: To evaluate: ∫0π2cosysin2y+5siny+6dy Solution: Let substitute t=siny dtdy=cosydt=cosy dy Limit will…

Q: (s,+)=(-3,1) X=5?+2+? y= 6st a) 4s x sinly) + 6+x?coscy) at (-3,1) b.) 8tx Sincy) + 6sx? Coscy> at…

A: GIVEN  (s,t)=(-3,1) X=s2+2t2  Y=6st substituting the value of s,t for X and Y we have  X=(-3)2…

Q: Evaluate the following integrals.

A:

Q: 4 ry sin (x? + y*)dxdy Find

A:

Q: f(æ) = sin(æ*), find f'(x). ind f'(1).

A:

Q: 3 sec?x dx 2+3 tan x

A:

Q: (10) ex +sin x 2/xy, find y'

A:

Q: + 3r?y – y³ = 4, find dx Given sin

A: Given that sin (y^2/x^2) + 3x^2y - y^3 = 4. We have to find the value of dy/dx.

Q: For y = sin? x+cos x, y' =

A: Given that, y=sin2x+cos2x We have to find derivative of the given function. Here, y'=dydx

Q: J sec 3x tan? 3x dx

A: We have to evaluate the integral

Q: y' + x sin 2y = x cos?y

A:

Q: sec? x 6. V dx 49-1 – tan? x

A:

Q: 4Find dy/dx for: y = sec?x - tan?x b- y = sec -x) C- y = sin(tan(3x))

A: Since, you have posted multiple questions and the questions marked by you has multiple sub parts ,…

Q: i tan?(x) sec(x) dx trig property 2.

A: We have to find the integration

Q: 4 sec?x dx 2. tan?x+2tanx+5

A:

Q: b) | sin “ xdx d) [ /tan x sec“ ,

A: Given problem:- b.   ∫ sin4(x) dx  d.   ∫√tanx sec4(x) dx

Q: ® SS sin (2x) – T dA R- (*14, "/2] x [O,1]

A: In the given question, concept of integration is used. Integration Integration is a method of…

Q: Solve x' sec? y +3x tan y = cos x. dx

A:

Q: 2r sin 1 (r²) d»

A:

Q: Q1 Evaluate 2 2 || 2y? sin(ry) dydx

A: Use change of integration.

Q: cos O dx = ? sin 1-x? %3D

A: Given

Q: sec? x dx 1+9 tan? x

A: Given: ∫sec2xdx1+9tan2x

Q: Evaluate and simplify y'. y = V1 - x* + x² sin-'x?

A: Given that y=1-x4+x2sin-1x2.

Q: find dr/dθ r = (1 + sec θ) sin θ

A: We are given: We need to find derivative or r. Distribute sin function we get: Now we can take…

Q: Je* cos x dx ex

A:

Q: 2 x If y = x¯e" sinx,Find d

A:

Q: eX(tanx + sec? x)dx = e*tanx + c Select one: O True

A:

Q: dy Find if y = 4 sin?(3x) dx

A: Here we have to find the derivative of function y which is given as above. Here I am attaching a…

Q: sin?x dp. J 1+ sin?x

A: The solution for the above question is as shown below.

Q: Sy sin-'y dy

A:

Q: AN tan sec()dv A 2 2 2 14s 1YS

A: The given integral is,

Q: a) * sec?(x) tan°(x) dx

A:

Q: sin?y dx + cos²x dy = 0 ; y (÷) =÷

A:

Q: |tan³xdx 1. cot*xdx 2. |sec*xdx хрх, 3.

A:

Q: S(sin2z – 3cos2z)°dz

A: Here, (sin 2z-3cos 2z)2 =sin22z-6sin 2zcos 2z+9cos22z=sin22z+cos22z-3(2sin 2zcos 2z)+8cos22z=1-3sin…

Q: at (x = })? dy Csc(3x) Sin(3x) + Cos(x), Find Let y =

A: The given function is: y=csc(3x)sin(3x)+cos(x)  =csc2(3x)+cos(x) To find the derivative of it:…

Q: 11cot 2x dp- sin? 2x

A:

Q: 3 y = sin?x? ; find dy 13D Xp

A: We will use simple differentiation rules to solve this question.

Q: 0. sin*(x) dx = R, 3 -Tt, what is 8. Given that sin (0) de?

A:

Q: 8. fx,y) = sinx cos y

A:

Q: 3e7" sin(2y) 3e7 sin(2y) dy

A:

Q: Sinh メニ 2o COSN メー? Secnx =? tan h X=? Cotn X =?

A: Given, sinh x = 2099  We have to find cosh x,  sech x, tanh x , csch x  and  coth x.

Q: Let f (t) = et sin 5t

A:

Q: sin? x dx 1+ cos x (ii)

A: (ii) ∫sin2x1 + cos x dx Let I = ∫sin2x1 + cos x dx I=∫sin2x1 + cos x ×1- cosx1 - cosx dxI=∫sin2x (1…

Q: Sin? x cost x dX X COS X d

A: Given the integralI=∫sin2xcos2xdx

Q: J ? x sin 2x dk

A: This integral can be solved by the method of integration by parts which is given by