= In(x² + y- sin sin-1 a2.. ||

Q: Find the indefinite integral: cos ( πx ) dx sin, ( π )

A:

Q: COS x dx 1+ sin x

A:

Q: Evaluate the indefinite integral. sin(x) cos(9x) dx = +C

A:

Q: 13. Find y' for sin(xy²) + x² = y². %3D

A:

Q: evaluate using the appropriate method or combination of methods.

A: Use 2sinA*cosB=sin(A+B)+sin(A-B) formula

Q: (24) Evaluate the integral: | Va sin(1 + x/2)dx.

A:

Q: Solve the DE: (cos y- cos x)y' +cos y sin 2x=0

A:

Q: J cos 2x sin 3x dx

A: To find: The integral of ∫cos2x·sin3xdx. Formula used: Trigonometric formula: 2cosA·sin…

Q: Solve for f(x) the ir f f(x) cos px 8 sin² t

A:

Q: z = y sin(2x) + (1 + x²)e* + cos x tan¬(y* + 1) In(y6 + 137)

A: ∂z∂x=∂∂xysin2x+1+x2ex+cosxtan-1y4+1lny6+137=∂∂xysin2x+∂∂x1+x2ex+∂∂xcosxtan-1y4+1lny6+137=2ycos2x+1+x…

Q: d Prove that (sin-l x) : dx V1 – x²

A: To show that:ddx(sin-1x)=11-x2

Q: Evaluate the integral.  integral sin 9  x cos 3x dx

A:

Q: 68) Find a value of c that will make sin2 4x 0 x2 f(x) = C, x 0 continuous atx = 0.

A: Given,

Q: Find the slope of the curve 2xy = In(e2*) sin(x) at the point (2,2)

A:

Q: Q2 : Evaluate the integral sin x dx 1-sin² x

A: To find the integrations.

Q: Evaluate the integral. ∫0 π/2  Sin2 x Cos 2 x dx

A: Consider the given integral as Use the identity to solve the integral such that

Q: Evaluate the definite integral. sin x dx -dx J12 I+cos² x

A:

Q: Evaluate the indefinite integral. [ (sin-æ)3 dx : +C. V1 - x2

A:

Q: Evaluate the integral.  integral sin 3  x cos 5x dx

A:

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

A:

Q: Find the General and Particular solution of = 8 sin 4x ; y = 6 when x = 0 %3D dx

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

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

A:

Q: Evaluate the indefinite integral. | = sin(x) cos(4x) dx +C

A: Given query is to find the intersection.

Q: The approximation of I cos (x²+5) dx using simple Simpson's rule is:

A:

Q: 11.) F sin (x)cos²(x)dx 2

A: Note:   As per our company policy we should answer only one question each time, so please repost the…

Q: 1(y) = In(sin(cos(y²))) %3D

A:

Q: Find the indefinite integral. ∫cos5 x sin x dx

A: ∫cos5x sinx dx Put, cosx=t⇒-sinx=dtdx⇒-sinx dx=dt⇒sinx dx=-dt

Q: "/2 sin x dx Jn/a V1-2 cos x 4.

A: As per the guidelines  we can answer only one question at a time. If you want to get the answers  of…

Q: Find dy/dx: y = sin (In x²). A 2 cos (In x²) (B) 2 cos (In x²) / x

A:

Q: Evaluate the integral.  integral sin 9  x cos 5x dx

A: Given :           ∫ sin9 xcos5 xdx

Q: 1. Calculate the Integral 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: F(r) = 5x sin(/2x) – 3 cos(/2x) +xe³r sin(3x) + 2x ?

A:

Q: Q4: To evaluate the integral cos x dx using the reduction formula of cosine function

A: We know that reduction formula for  ∫cosndx=1ncosn-1(x)sin(x)+n-1n∫cosn-2(x)dx Now we will solve…

Q: Evaluate the integral. ∫ Cos2 x Sin2x dx

A: Given :           ∫cos2x sin2x dx

Q: The value of the integral (x–1)* sin (x 1) (x-1) +cos (x-1) is

A:

Q: Evaluate the integral sin x dx (2 + 3 cos x)2

A:

Q: Show that sin x dx=1-cos t (0<x<t<}r).

A:

Q: 9- for y = cosx is dx a)sinx b)sin2x c)-sinx

A: As per the bartleby guideline for the multiple question it is allowed to solve first question of…

Q: the equation of the tangent line to the graph of f(x) = 9 sin(x) + 4 cos(x) at x = in the form y =…

A:

Q: Q2: Evaluate: * Jx* sin(1- x)dx?

A: use substitution method to solve the integral

Q: Evaluate the integral.  integral sin 6  x cos 5x dx

A:

Q: sinx f(x) = on [0, 2n] cos x-V2

A: Given :         f(x) = sin xcos x - 2 on 0, 2π   To determine the extrema of the above function…

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

A:

Q: Evaluate the indefinite integral. cos x dx (sin x)27

A: Let's find.

Q: Evaluate the integral.  integral sin 3  x cos 2 x dx

A:

Q: Q1) Show that: (a) (1+x)° =1+6x :(cosx) = dx = -sinx (e)읊 = E d ( V) = (d) V1+ tan x = 1+;x dx 2 vx

A: NOTE: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: proximation at z = 0 to sin(4r) is A + Bx where A is:

A:

Q: 2 sin6 x cos⁹ x dx 0

A: See the details solution in below

Q: Q2: (a) Evaluate ſ cosx sinx V1 – sin4x dx.

A: