| (3)² – (cos(x))² dx cos(x))² dx Vs.

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: 1. e2x cos 3x dx

A: ∫e2xcos3xdx

Q: S.Si dx dy о 1+ху

A:

Q: 1. Given y= [In(3x² +8)] dy find tan(6x) dx

A:

Q: 6. dx dy + cos.

A: Given: dydx=yx+cosy-xx

Q: Evaluate ]e * cos (7x) dx. Seex cos (7x) dx = %3D

A: Explanation of the answer is as follows

Q: 2 6. dx (sin x – cos x)?

A:

Q: X COS 4x dx;

A:

Q: (16) cos (xy) find dy/dx

A:

Q: S 5 sin(3x)e2cos(3r)dx

A: Solve integral by substitution method:-

Q: S(sinx + cos x)² dx

A: To find: The integral of . Formula used: Algebraic formula: Trigonometric formula: Integration…

Q: 3. Explain graphically: cos x dx = 0.

A:

Q: Evaluate

A:

Q: S[cos 3(x/3)]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: 3e" + 3x + 10 cos x + 2)dx .2

A:

Q: 3) f₁ dx do - cos 0

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: (e) /s sin (x) cos (x) dx

A:

Q: 3) S cos(Inx) dx

A: according to guidelines we should able to do only one question at a time #3

Q: Can you help me step by step?

A: Given: -

Q: 9. . 2 CoS cos rsin?x dx. 10. 2 sinºx dx

A:

Q: 1) S“(cosx)" dx. 2) Г(-4). 3) В (10,9) 4) Sº x° e-2* dx Ja-x)i 5) o

A:

Q: Use the reduction formulas from problem #2, to integrate the following: a) | cos* (3x) dx

A:

Q: S S som'e dx cos'x

A: Perform integration

Q: i. S(e** cos(2x)) dx

A:

Q: cos'x sm'e dx

A:

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

A:

Q: e cos (2x) dx

A: The given integral ∫e-xcos2xdx can be evaluated as, Let,  I=∫e-xcos2xdx By applying integration by…

Q: 1. x2 cos 2x dx

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

Q: (d) ƒ COS √1+sin x dx, (e) cos(lnx) S dx Т

A:

Q: 9. ſ csc 3x dx 10. S sin x e cosxdx CoSx

A:

Q: (cos x2) dx. Use integration by parts. 1.

A:

Q: 10. cos (1/) dx

A: We have to evaluate the indefinte integral as shown below:

Q: dy cosh x dx + (sinh x)y = e-x

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 3a. cos πx sin πχ dx

A: We need to integrate the given expression. ( As per our policy, we can solve 1 question at a time.…

Q: 5. Sxcot°(10x²)dx 6. S ( tan (3z) dz cos*(3z)

A:

Q: S cos(e) In (sin(0))d0

A: We take the help of integration by parts in solving this problem

Q: CM 2: S cos"x sinx dx

A:

Q: S sin x (1+ cos 2x)² dx

A: In some cases integrals can be converted to standard integrals using an appropriate substitution.…

Q: dx +x cos(t)-sin(2x) = 0, dt sin(2.x)

A: We have to slove this ODE:

Q: Please answer completely. Step by step. Evaluate. S arccos x dx

A: I have stated the used formulas in the solution

Q: 1. " x² cos 2x dx

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

Q: Find the exact value. 3 S sin cos 2 0 x dx

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: dy = 4 cos 4x dx

A: The given differential equation is dydx=4cos4x. We can solve this differential equation using…

Q: S cos(2x)e2× dx

A:

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

A: Integration problem....

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.