yA y= sin.x y = cos x

Q: 7 cos?(x) sin(2x) dx

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: 2. cos?x dx =x+ sin 2x + C X_SO

A:

Q: sin in dx X COS21nx

A: A detailed solution is given below.

Q: (b) Sint x COSX + Sinz

A: As per Bartleby's expert answering guidelines, we should only answer one question, so kindly post…

Q: x = cos(30), y = 2 sin(0).

A: The parametric equations are given as, The the corresponding derivatives are calculated as,

Q: 2 cos @ dӨ . 1- sin 0

A:

Q: Evaluate Sz cos“ x sin? x dx

A:

Q: 3 sin x dx 3. | COs cos? x

A: Our Aim is to solve the integral given below:-I=∫sin3 (x)cos2 (x)dx -(i)

Q: The general solution of y 'tanx sin2y = sin?x + sin?y is

A:

Q: 5. sin(x + y) = y² cosx

A:

Q: 23. x? sin (x³) cos (x³) dx

A: ∫x2sin5x3cos3x3dx=∫sin5x3cos3x3dx      x3=u,3x2dx=dx, x2dx=1/3 dx=∫sin5x3cos313dx

Q: 78 |x cos(nx)dx

A: As per guidelines we will solve one question

Q: sin' (2t) cos? (2t) dt

A: Use the substitution and replace the terms by new variable and solve easily.

Q: Evaluate: / [cos(x) – sin(x) ]dx

A:

Q: cos?X+ sin²x 1. sec 2X %3D cos²X

A: I am going to solve the given problem by using some simple trigonometry to get the required result.

Q: B) Express the given quantity in terms of sin x and cos x sin (플-x)

A:

Q: (40 sin (x) – 39 cos (x)) dx =

A:

Q: 5. Se* (sin x + cos x) dx

A:

Q: 4. Describe a way of evaluating x cos? x dx. sin' х. х со

A: We will use the reduction formula,  to solve this integral. where n ≥  is an integer. Now., we…

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

A:

Q: Q/ ind dy if 24-sini' (xe!)=sin'(x*)+ cos (x")

A: Given that      2y - sin-1(x2+1) = sin2(x4) + cos2(x4) Here we have to find dy/dx.

Q: 37. 2(cos x)-/2 sin x dx

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: 10. sin x cos x dx

A: Given:- ∫ sin3(x) cos5(x) dx

Q: 18) iox dx Sin

A:

Q: -S * sin ´sin sin (e*) dx

A: we have to integrate

Q: 1. cos x |? ecosx sin xdx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Evaluate: " sin" () cos* () .4 CoS 2, dx .2.

A:

Q: y = sin x cos6x x CO

A: Introduction :

Q: B) Express the given quantity in terms of sin x and cos x. Sin (2n – x)

A:

Q: Example : Find S“ (cos ti + sin tj+ tk)dt

A: We can do integration w.r.t. dt

Q: b) SE cos(3x) sin(3x) 18

A:

Q: 5) coS I sin rdr

A:

Q: Find y' and y". y = cos(x?) y' - -sin (x²) ( 2x) y" =

A:

Q: | tan (x) cos (x) dx

A:

Q: (2 cos x + 7 sin x) dx

A: Disclaimer:  Since you have asked multiple questions, we will solve the first question for you. If…

Q: 27 sin x cot xcosx dx = ? ^.cosx

A:

Q: cos (4x) dx 1+ sin? (4x)

A:

Q: sin (x) = 0.8. If x and y are complementary, what is cos (y)?

A: In the question it is asked to calculate the value of cos(y) for sin(x)=0.8. It is given that x and…

Q: 50 6x sin dx e sec sec

A: The question seems to be wrong. I have made a few changes. The solution is as follows below:

Q: Cos x [SND] If y = tan x+ seç show that, y = (1 – sin æ)?

A: Topic  =trigonometry

Q: 3 Cos |X TT 13) y = 3

A: We need to plot the graph of given curve:

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: 24) y = Sin' 2x.Cos2x (ans

A:

Q: sin 2x dx 16 + cos? x

A:

Q: 38. y = x cos. cos x

A:

Q: S(tan 3x – sin? 2x tan 3x)dx

A:

Q: 5TT i sin' cos*dx 4x. 4x, 8. 5

A: