Use the accompanying figure to show that 7/2 sin x dx sin 'x dx. 2 y = sinx 1 y= sin x 1

Q: find dy/dxy=cosx/1+sinx

A: To find the derivative of the given function y  = cos(x)/(1 + sin(x)).Use the quotient rule for…

Q: 6. Find dy/dx by implicit differentiation for tan-'(²y) = sin(x²) + 3ry?.

A:

Q: 1) Find 4 by implicit differentiation given 4 cos x sin y = 1. dx

A: Differentiate above equation with respect to x.

Q: Prompts Ssin(3x)sin(4x)dx

A:

Q: 2x sin- (x2) dæ dar 0,

A:

Q: 4x sin(4x + 5) dx 3.

A: Answer is here

Q: Find dy dx tan/ sin3x) + eos (cos. .....

A:

Q: S sin 2x sin 4x dx 7.

A:

Q: Find dy/dx of inverse tan(1/x) multiplied by secant(x)

A:

Q: Find the coordinates of the point on the graph of y = 8 sin x+4 cos (2x) + 14, 0 <x<5, where the…

A: Consider the given function, y=8sinx+4cos2x+14 The slope of the tangent line on the given curve will…

Q: 1-cosx Sin 2x dx

A: Given:  To Find: To evaluate the given integral.

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

A:

Q: = (a) Evaluate S cosx sinx V1 – sin4x dx. -

A: Given∫cosxsinx1-sin4xdx

Q: Solve for the derivative Arc sin + Arc cos =0 y y

A:

Q: Differentiate y=(sinx)2(sin-1x)2

A:

Q: Use the first two non- zero terms to estimate ∫​sin(x^2)dx from 0 to 1.

A: Solution:- Use the first two non-zero terms to estimate ∫01sinx2dx

Q: Evaluate. S sin“ x cos² x dx

A: This question is related to integration,  we will solve it using given information.

Q: S sin³x dx

A: Let's recall the formula underlying integration by parts:

Q: Find the second derivative of the function. f(x) = sin(2x?) %3D f "(x) = 16x sin 2x) + 4 cos 22)

A: Given f(x)=sin(2x2) Formula: Derivative of sinx  = cosx Derivative of cosx = -sinx

Q: Find , if y = x sinh x - cosh x %3D dx

A:

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

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Q: 1. Find , if y = x² sin 3x dx

A:

Q: Differentiate with respect to x. Y=sin5x

A:

Q: 6. Find [sinh(4x)sin(2x)dx

A: By using integration by part.

Q: 1. ſ tan5 2x sec3 2x dx

A: Let,I=∫tan52xsec32xdxI=∫sin52xcos52x1cos32xdxI=∫sin52xcos82xdxI=∫sin42xcos82xsin(2x)dxusing…

Q: Find cos x + sin 2x dx 19. sin x

A:

Q: Differentiate  x sin−1(x)  with respect to sin−1x.

A: Using derivative of one function w r to another function.

Q: 106)Find the nth derivative of cosx cos2x cos3x AND ALSO FIND S dx sin?x

A: Cos2x = 2cos^2x -1

Q: find integral sin 5 dx

A: Given integral can be written as

Q: Find y' by implicit differentiation: 8 cos(ry) + x4 = yª

A: Given: 8cosxy+x4=y4 For finding derivative of given expression, we differentiate given expression…

Q: Va2-x² Y=Arc sin + a

A:

Q: Find the trigonometric integral ∫sin x cos4 x dx

A: Consider the integrals: ∫sinx·cos4xdx…

Q: 4. S sin¯ 3x dx

A: We can solve the given problem using integration by parts . According to Bartleby guidelines I have…

Q: cos(In x) dx

A:

Q: by implicit differentiation. 8. Find dx sin(xy) = 1+ cosy,

A:

Q: Find all extreme values for y=x+sinx^2 over [0,π]

A: Given,  y = x + sin2x  We have to find the extreme value in the interval 0, π

Q: Evaluate sin integral (4x) cos(5x) dx

A:

Q: Show that ∫∞−∞ sin x dx diverges.

A: To Show: ∫-∞∞sinxdx diverges.

Q: 2. Differentiate y = /sin(x² + 3)cosx

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Q: Find dy/dx if sin-(4y²) = 8x² – 5y3 Answer: Find dy/dx if tan- (xy²) = 3x² – 5y² Answer:

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Q: Integrate: S dx sin ³x cos6x

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Q: 2 2- Find if y = dx sin2x sinx

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Q: Differentiate sin(x2 + ex) with respect to x.

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Q: y = k2 (Arc sin) – xvk2 – x² where k is a constant.

A:

Q: a. dx 1+ sin(ax)

A: