sec x dx cos(2x +a)+ COS a

Q: cos’x sin x dy + (y cos³x – 1) dx = o %3D

A: We have to find the solution of given differential equation

Q: 5. Find : 60 y= (b) y = cos (11x³ + 5x). dx

A: SOLUTION-

Q: dy 3. dx cosx – ysinx = sin2x

A:

Q: a- S 3ln²x_dx b- f sin5x.cos²x.dx

A:

Q: dx dy -2xcsc 2y - 2x³ cos 2y sec 2y x² = sin 4y + (4y + C)2y

A:

Q: Evaluate the integrals

A:

Q: (a) -dx = +C. (b) -3 sinx +3 cos x dx = +C (c) -4e dx = +C.

A:

Q: (c) sin(3x) sin(x)dx

A: Evaluate :   ∫sin(3x)sin(x) dx

Q: COs 2.r dx x² + 2x + 2

A: In this question, we find the principal value of the integral by using residue theorem

Q: 5. sin(x + y) = y² cosx

A:

Q: 4 cos x h(x) Vx+2

A:

Q: fo (9 cos(x) – 2 sec²(x)) dx

A:

Q: Evaluate the integrals

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: 3. dx -x' csc 2 ydy = - dy tan 2y

A: The solution are next step

Q: (6e + 6x°+ 4 cos a + 2)dx 6e + x° + c 4 cos a + 2x +

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…

Q: Scotx dx sin 2x cos' 2x dx g. i

A: To evaluate the given integrals by substitution method.

Q: e3 sin(5x) dx %3D

A:

Q: sin x dx 2. cos x 4

A: For the given Definite integral is evaluate by using change of variable method as shown below

Q: 1+cosx, dr r = 1-cosx' dx

A: Using derivative to find dr/dx

Q: Ssin'x cosde 3. Sin'x cos dx

A: Given: ∫ sin3(x)  cos(x) dx We have to evaluate the given integral.

Q: Find the derivative.

A: given,         y=cos-1t-1-sec-1t

Q: +3x2 b. Find (y)? = sin³(cos³(* *3*)) %3D dx 2

A:

Q: Q.2: Find dx 2) | (cos²x sinx )dx

A:

Q: Cos ax sin 2x x' sin mx 13. dx, a>0 14. dx 15. dx, a>0 1+x

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 3. f10x-sec(5x) tan(5x²)dx ans : sec(5x²) +c (VF). cot 4. dx ,note: Vx = xr ans : 2 In

A: ∫10x·sec(5x2)tan(5x2)dxlet u=sec(5x2)du=sec(5x2)tan(5x2)·10x  dxdx=dusec(5x2)tan(5x2)·10x Replace dx…

Q: [(cos 2y) – 3x?y²] dx + [(cos 2y) – 2x(sin 2y) – 2x³y] dy = 0 %3D

A:

Q: cos(x) dx 4.

A: Given: ∫14cosxxdxat n=8

Q: I) sin X dy dx Sin 2X - y Cos X

A: Explanation of the answer is as follows

Q: 3x 2. y = Ae³x cos x+Be³x sinx

A:

Q: cos ax -dx = te' 2 х* +1 ле",а 20.

A: In this context, prove ∫-∞∞cos axx2+1dx=πe-a,a≥0. Consider, ∫cfzdz=∫-∞∞cos…

Q: 3. sin x cos x dx

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

Q: S[ sec(x) + cos(æ) dx + C 4 cos(x)

A:

Q: y = cos x, y= sin 2x, x = 0 and x = 2

A: Solution

Q: sin?y dx + cos²x dy = 0 ; y (÷) =÷

A:

Q: +3x2, (V)² = sin³(cos³(*3**» dy b. Find dx %3D

A:

Q: The solution of Sinx dx - x sinx+ y cosx= 0 is (y– 1) sinx =? A C-x sinx B C+ x cosx с-х cosx D C+ x…

A: sinxdydx-xsinx+ycosx=0sinxdydx+ycosx=xsinxddx(ysinx)=xsinx

Q: dx 2x2+8 dx -9x2+6x-2 e2X sin(e2x)dx cos? (e2x)+3

A:

Q: Se²x+lnx² sin x² dx = +fe²x co 2x cos x² dx

A:

Q: tane Q2) a) Find " sec²y dy dx

A: Given : ddx∫0tanθsec2ydy

Q: 6. J1-cos I COS T dx

A: Answer is mentioned below

Q: sin(v3t) (b) L-- [tan- )) (a) L dt

A: In this question, we use the properties of Laplace and inverse Laplace transform, find the Laplace…

Q: Ans: -+ cosx c 1. y' +y2 sin x = 0

A:

Q: a²-x2 6- Sº, S dy dx -Va2-x2 7- Sx? cos 5 x dx

A: As per bartelby guidelines we have permitted answer only one question if given more than one…

Q: cos²x .2 + y = tan x dx dy

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: sin x dx 7+ cos x 2

A:

Q: dx b) sin 2x sin x dx (3x + 2)²

A: we have to integrate

Q: (2xsinx +3 cos y)dx-3x sin ydy 03 ....

A:

Q: dx 9. 2- cos X

A: To evaluate :

Q: cOs X dx 7+cos 2x

A: