15 cos(x) + 4 sec (x)dx

Q: 4. | e2x cos 3x dx

A: NOTE: You have posted multiple questions, we have solved the first question for you, if there is a…

Q: s sin(3x) + cos(5x) – sin sin)ax |dx

A:

Q: 1. e2x cos 3x dx

A: ∫e2xcos3xdx

Q: Find integral.

A: ∫-11xcos x dx

Q: Solve d²y dx² - cot x dy-sin² x.y = cos x - cos³ x. 2 dx

A:

Q: π/2 cos² x dx

A: This question can be solved using the concept of properties of definite integrals.

Q: X COS 4x dx;

A:

Q: |3 cos(2x – t/ 2) cos(x+ t/ 4)dx

A: To evaluate the integral: ∫3cos2x-π2cosx+π4dx Solution: We know that, cosa cosb=12cosa+b+cosa-b…

Q: Evalualte! dx cosX x+ メ+ 1

A: Given:

Q: -2 e* sin(x) -dx 1+ x2

A: the solution is as follow we will solve the given problem by numerical method  Trapezoidal rule

Q: fe²x+Inx² sin x² dx = +²√e²x cos x² dx

A:

Q: Find the solution of the equation cos y which tends to zero as x → 0o and has the value cos y whenx=…

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Q: Find y' : In(cos² 3x) = e*+y + sin-1 y

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Q: S[cos 3(x/3)]dx

A:

Q: (- + 2 cos 2x ) dx + (- - 2 sin 2y ) dy = x2

A: You have asked multiple questions in a single request. As per our honor code, we will only solve the…

Q: x fare cos = dx 2

A: Indefinite Integration

Q: S(6Vx + 3 cos x - 8)dx

A:

Q: -351 ye dc -3 tanx dx t. tan x (e-casx) dy =0

A:

Q: (a) / sin sin(8x) + cos(7.x) dx (b) / (3x – 5 sin dx 2 (c) / cos(3t) + sin(5t) dt

A:

Q: e cos-1x 5. S V1-x2 dx

A: To evaluate the given integral.

Q: sinh(Inx)dx 1) 2) fe* sinade e*.sinxdx 3) sin? (2x).cos(3x) G

A:

Q: (x2 + 10x) cos(x) dx

A:

Q: 4. ſ cos xesinx dx

A:

Q: S cos^3 (x/3) dx

A: ∫ cos3(x/3) dx ∫ cos(x/3) cos2(x/3) dx  ∫ cos(x/3) (1-sin2(x/3)) dx.         ..(1) (Beacuse…

Q: 2x cos x? dx 1+ sin² x² 8

A:

Q: 3e" + 3x + 10 cos x + 2)dx .2

A:

Q: 1. § e sin 4x cos 4x dx 2.5 dx Se-2x dx %3D

A: 1) Given:                ∫esin 4x cos 4x dx Apply u-substitution: u=sin 4x⇒du=4 cos 4x dx…

Q: 2 X 1 t3 COS 4- x² dx 2 -2

A:

Q: S cos(3x – 2n) cos (x + t) dx

A: We know that, 2cosAcosB=cos(A+B)+cos(A-B) Also, ∫cosxdx=sinx

Q: +(g-1)dx -t +(2xy-Siny]dy=o

A:

Q: cos 3x b. S; dx = ... 3+15 sin 3x

A: We have to solve the given integral .

Q: Solve cos x(e2y - y) = e' sin 2x, dy dx

A: We have to solve the given differential equation.

Q: x cos x² 2. X C0 dx -siny

A:

Q: 3x e COs x dx

A: To evaluate:∫e3xcosxdx

Q: 1 dx 3 sin x+4 cos x+3

A:

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

A: Solution

Q: 1. x2 cos 2x dx

A: The given integral is: ∫x2cos 2x dx

Q: CM 2: S cos"x sinx dx

A:

Q: 11.| V1- сos 2x dx COS

A:

Q: 1 S (4x4 – e3* + cos(2x) – + 5* ) dx - x-1

A: First you need to go through the formula of calculus. Specially go through the details of the…

Q: (x+sin x ) equals: dx O Cos X 1-cos x 1+cos x

A:

Q: 1. " x² cos 2x dx

A: (1) We need to evaluate the following integral ∫0πx2cos2xdx

Q: x6 cos(x³) |dx=0

A: Follow the procedure given below.

Q: E valuate dx 7-3 Sin X +6 Cos X

A: solution.

Q: Sn cos® x dx

A:

Q: X cos (3x) dx,

A:

Q: x2 sin3(x) Q.2\ Find dx if y = In cos(x*).V1+x/

A:

Q: S cos(2x)e2× dx

A:

Q: dx 3+2 cos x

A: The value of the given integral is 2√5/5 Arctan[√5/5 tan(1/2 x)] + c

Q: (3e + 10 cos(x)) dx ntegral =

A: Integration problem....