Eliminate the arbitrary constants of: y = ln sin(x-c1)+c2

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

A:

Q: sin x dx cos5x b.

A:

Q: Eliminate the arbitrary constant for y = 2 + Cq sin 4t

A:

Q: COS x dx 1+ sin x

A:

Q: dx 3 cos x+2 sin x-5

A: This integral can be solved by using the trigonometric formulas of sinx and cosx in terms of…

Q: Assume that y = sin'x is a differentiable function of x. By differentiating the equation x= sin y…

A:

Q: 1. Solve for x, where 0 < x < T. 1 tan x = sin(2x)

A:

Q: Evaluate the integral ∫sin5 x/3 cos x/3 dx

A:

Q: find (y') by Implicit differentiation x² tan(y) + y10° sec(x) = 2x

A:

Q: determine the annihilator of the givenfunction F(x) = sin4 x.

A: We have given function; F(x) = sin4 x.

Q: Find e-t sin(v3t) 00 (a) (b) L-1 tan

A:

Q: Find the definite integral.

A:

Q: eliminate the arbitrary constant y = sin ax

A:

Q: y². у? — 123 8y

A:

Q: y = c sinx

A:

Q: If f(x) = (52² + lx + 6)cos(x), find f'(x) =

A:

Q: Find y" by implicit differentiation. cos(y) + sin(x) = 1 %3D

A: Chain rule:- if f and g are both differentiable and F(x) is a composite function defined by…

Q: Find for y = 5x sin x+ 10x cos x- 10 sin x. dx Dikdörtg

A:

Q: Find y" by implicit differentiation sin y + cos x = 1

A:

Q: Find ∫e^(2x)sin(2x)dx

A: Given: ∫e2xsin(2x)dx

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

A: Given query is to find the intersection.

Q: Find y' if cosh x sinh?

A:

Q: Using appropriate substitution, f sin°(x)cos³ (x)dx is equal to:

A:

Q: xe2X sin(e)dx 2x2

A: As per guideline we have to solve only one

Q: Evaluate 1 dx 3 sin x – 4 cos x -

A:

Q: find (y') by Implicit differentiation x² tan(y) + y10 sec(x) = 2x

A: x2tan(y)+y10sec(x)=2xDifferentiate w.r.t x

Q: y = e*In(sinh x)

A: See the details solution in below

Q: 2. Differentiate each function with respect to x: (a) y = cos (3x²) (b) y = sin (1 + 3x)

A: Our Aim is to differentiate the given functions with respect to x:-(a) y=cos (3x2)(b) y= sin (1+3x)

Q: Evaluate the integral sin'7 x cos x dx

A:

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

A: Given :           ∫ sin9 xcos5 xdx

Q: Find and by implicit differentiation for y = sin y – x.

A:

Q: Find the differential of the function y=sin23x.

A:

Q: Find * by implicit differentiation. 3 + 6x = sin(xy') dy Answer: dx ||

A:

Q: Find by implicit differentiation. 3+ 6z = sin(zy') dy Answer: dz

A: Solution is in step 2

Q: find all possible functions with the givenderivative. y' = sin 2t

A: Given: dydt=sin2t for finding solution of given equation, we use variable separable method so,…

Q: Compute for y" by implicit differentiation. sin y + cos x 1

A: This question is based on diffrentiation of implicit function.

Q: Differentiate the following functions: 5. y = sin-(n(2x + 1))

A:

Q: Differentiate the function y = e - 4x  sin   5x

A:

Q: xy sinx - x'y²= Cx

A:

Q: Integrate the given function. sin 11x -dp- cos 11x

A:

Q: Find y' and y" by implicit differentiation. cos(y) + sin(x) = 1

A:

Q: y = In[cos? (3x)]

A:

Q: Which of the following is the result of differentiating both sides of the equation xsin y = 2 ln x +…

A:

Q: a (a) L{sin at}=- s2 +a?

A:

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

A: Let's find.

Q: Find 1-x if y = cos-l dx 1+x²

A:

Q: If y =x[sin(In x) – cos(ln x)], find y'.

A:

Q: Differentiate: y = (e2x)/(sin(2x))

A: We have to differentiate the function: y=e2xsin 2x Here two function are in ratio so we should use…

Q: Solve the definite integral e(arcsin(x)) dx. /1 – x²

A:

Q: Find the anti derivative: x3(x2+9)1/2 dx Hint: Use Trig Identities

A: here we use the trigonometric identities1+tan2x=sec2x