Evaluate sin(3x) dx. sin(3x) dx (Use C as the arbitrary constant.)

Q: Evaluate ∫x3 √(1 - x2) dx using a trigonometric substitution

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Q: Evaluate sin x dx 1.) S 5-cos x

A: Given that the integral  I=∫sin x5 - cos2 xdx To evaluate the integral

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

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Q: sin in dx X COS21nx

A: A detailed solution is given below.

Q: (b) Sint x COSX + Sinz

A: As per Bartleby's expert answering guidelines, we should only answer one question, so kindly post…

Q: sin x dx 4 3 Show that -

A: The integration can be written as;

Q: (c) sin(3x) sin(x)dx

A: Evaluate :   ∫sin(3x)sin(x) dx

Q: 2x + 2 Evaluate : sin :Ssi". dx. 4x² + 8x + 13,

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Q: eliminate the arbitrary constant y = sin ax

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Q: 44. Use the accompanying figure to show that sin-x dx. sin x dx y = sin y = sin x

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Q: i) Find sin 6x+ cos 4x dx. 3 ii) Evaluate || et -dx . Hence, solve 2e* dx . (* +2)" +2

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Q: culate the derivative of: (8x) COS f(x) = sin-(8a)

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Q: B) Find and itx sin 3z and y tan 3z dx2

A: Given: x=sin23z and y=tan3z If x and y are function of z, then using parametric differentiation we…

Q: (b) ( cosx) = -sinx dx

A: To Determine: find the derivative of cosx Given: we have a function cosx Explanation: we have a…

Q: Evaluate the inclepinite infegral Cos 3X +3 dx Sin 3x

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Q: y tn Sin5x

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

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

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Q: Evaluate ∫ a cos x dx and ∫ a sin x dx, where a is a constant.

A: Given∫a cos x dx

Q: Use the method of substitution to evaluate | 2x cos x? dx.

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Q: Scotx dx sin 2x cos' 2x dx g. i

A: To evaluate the given integrals by substitution method.

Q: Q: Evaluate: 2х -1 cos dx (1+x²

A: Solved below

Q: Which of these will represent u in the function * y= sin -1 Vx2 + 3x + 4? Sin-1 а. du V1-u?

A: Using definition of composite function.

Q: e3 sin(5x) dx %3D

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Q: sin x dx 2. cos x 4

A: For the given Definite integral is evaluate by using change of variable method as shown below

Q: d(tan(x)) Using Euler’ formula, show that dx cos x 1.

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Q: Find fe2" sin(2x)dx

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Q: A. sin(3x) dx

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Q: Hiw Find et dx sin -x も

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Q: Find ∫cos4 x dx.

A: To Determine: find the integral ∫cos4xdx Given: we have an integral  Explanation: we have an…

Q: /2 Evaluate : | sin x dx. -/2

A: For the detailed solution of the problem follow the next step.

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

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Q: e2x sin(5x) dx

A: Given,  ∫e2x sin(5x) dx

Q: find d^2/dx^2(sinx+cosx)

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Q: Evaluate / 4x cos(x)dx

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Q: sin x dx 2+ cos x 4. - T

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Q: So sin(x)dx

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Q: Evaluate sin z -dx /4 - coS I

A: Use the substitution method and first simplify the integration than integrate.

Q: Find Se2= cos(x)dx.

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Q: to dx 1-Sin(bx)

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Q: D°(sinx – cos x +3e* +.

A: Let F(x) = sinx - cosx + 3ex + x5 then D(F(x)) = cosx + sinx + 3ex + 5x4D(D(F(x)) = Dcosx + sinx +…

Q: 0 sin√xcos√x √x dx is equal to

A: To solve the given integral

Q: 2- Se2* sin x dx

A: ∫e2xsin(x)dxWe will use integration by parts: ∫fg'=fg-∫f'gf=sin(x),…

Q: find δƒ/δx and δƒ/δy. ƒ(x, y) = sin2 (x - 3y)

A: Given: fx,y=sin2x-3y  To find: ∂f∂x,∂f∂y

Q: What is d/dx sin x ?

A: To find the derivative of sinx (ie) To find ddxsinx

Q: B) Find and It x sin 3z and y= tan 3z dx

A: x=sin23xy=tan 3xWe need to find dydx and d2ydx2.

Q: sec x dx cos(2x +a)+ COS a

A: Introduction :