2. Find cos ec (In x) dx . x1+ cot(h x)

Q: dy If x=5+cos20 and y=3- sin20 , what is ? dx

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

Q: Solve the fllowing D.E +4y= cos x - sinx 2. CoS X %3D

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Q: 2 6. dx (sin x – cos x)?

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Q: Solve for the value(s) of x over the interval 0 < x < 360 2 cos x + 1 = 0 %3D

A: We have to find values of x over the interval 0&lt;= x &lt;= 360 of the equation 2 cos (x) +1 =0.

Q: 3 cos (x) sin (x) dx = %3D 2 15 O None 6

A: To find the value of given ∫0π23cos2xsin3xdx

Q: e) y = In(cos 4 x) f) y = sin² x y = In(cos(e3*)) g)

A: We can solve using first order differentiation (using chain rule)

Q: If j(x) = e(sin(x)+cos(x))² , then j'(x) = 2 cos(2x)el+sin(2«) COS

A: Given

Q: #1: Given: y = cos (x

A: Given trigonometric  function y=cosx-π2

Q: The integral / 2/ (*) cos(2*) dx takes the form k cosu du when u=2* and f (x) =x – 5. what is the…

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Q: S*r(sin³x cos x + sin x cos x) dx -- 4 Ja sin 50 de

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Q: If k 0 then the trigonometric integral [ 3 sin³ (kx) dx is equal to ¹(3 cos(kr) cos³ (kr)] + C

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Q: 15. For fe' cos x dx, what is du? cos x e' dx - sin x dx G(e* cos x + e" sin x) + C

A: The given question can be solved as shown in step2.

Q: (b) I cos cos(√x + 3) dx

A: b Given integral is ∫cosx+3dx. We have to solve the given integral. Use formula…

Q: The result of dy/dx for the following function is COS X y = 1+sin x

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Q: 4) Find when y? - x2 + cos(x + y) = 0 %3D dx

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Q: B-The result of dy/dx for the following function is cos x y = 1+sin x

A: We have to find out derivative

Q: 1 dx x +c, find- dx exactly where c is a constant. 5. If 1+cos x = tan 2 X 3+3 cos 4 n dx tam S c /+…

A: It is given that

Q: (d) lim In(cos r) エ→0

A:

Q: help!

A: Refer to the question, we need to sketch the provided function.

Q: B-The result of dy/dx for the following function is COS X y 1+sin x

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Q: b) S. cos x cos 7x dx

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Q: x3 Vx-5 у сos x. sin?x cos3x - Find dy/dx of

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Q: The integral / 2' )cos(2*) dx takes the form k cosu du when u=2* and f (x) =x- 5. What is the value…

A: we use the formula ddx(ax)=ax lna

Q: 4 + cos t -dt 1 – sin t

A:

Q: Show that where n is a positive integer.

A: To show

Q: Find Lt+1)²-e' sin² t + cos(t+1 ++ π)}.

A: Given :

Q: S sin(ax)cos(ax)/3 – cos(2ax) dx

A: Sin(2ax) = 2*Sin(ax)*Cos(ax)

Q: Find y' , for y=Sin-1(Cos√x)+Cos-1(Sin√x)

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

Q: 7) Determine an eq ,in (x) and (y) , and then find a) y sec 1t , x csc-1t b) y = (sin 0)* ,x = (cos…

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Q: 6. S sin*(e³*) cos(e³*) e³× dx

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Q: (ii) Evaluate J dx. COS TI

A:

Q: 5) Find 业一 dy for y cos(x) sin(x)

A: We have to find the first derivative.

Q: Find and y" for y = 0 cos e. %3D

A: y=θcosθdiff w.r.t θdydθ=-θsinθ+cosθdydθ=cosθ-θsinθ y'=cosθ-θsinθ

Q: (d) ſ tan² 3t dt 5 cos? x – 3 tan x dx - (e) S cOs X

A: The integration of the integrals is d) tan2(3t)  e) (5cos2x-3tanx) /cosx

Q: 2Tt Prove that a" sinax cos bx dx = 0 0.

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

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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: 2. If x = 2 sec 0 and 0<0< T/2, then %3D (a) sin 0 = (b) cos 0 (c) tan 0 =

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Q: y = C, sin at + C2 cos at, (a not to be eliminated)

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Q: What would be your of 'du' using the IBP (e^x) (sinx )dx * none of the above e^x cos X sin x sin x…

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Q: 2 cos e de 2 V1 – sin 0

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Q: y = In(cos“ x ) %3D

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Q: cos x 6) dx is equal to sin x A. In/2 В. Inv3 C. In" D. In e

A: The  given integral is ∫π4π2cosxsinxdx

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

A: solution.

Q: 8. Evaluate (a). (20-0y di (b). / COS I sin(sin x) dx -3

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Q: 1. Evaluate 9/ COS x (a) (1 – x)e dx (b) ,"™ dx p) A-2 sin r -

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Q: 7/2 d sin dx dx COS

A: