Find the length of y=ln(sinx) for Pi/6≤x≤Pi/3.

Q: dx 3 x + x

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Q: d VE evedt dx d -S Intdt dx 1

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Q: 57. Verify that S2 yields the exact value of | (x – x³) dx.

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Q: Compute the exact value. 2 dx 2.

A: Simplify the given integral using limits.

Q: What is ſ e2x dx? 1+ex

A: Given :                      ∫e2x1+ex dx     Substitute u = ex+1  ,  dudx = ex…

Q: 19. What is the equivalent value of *Vx+ Tdx 20. In evaluating (&+ Idx x dx which one is to be used?…

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

Q: 4-S cosh? Vx dx x csch vx

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Q: ind the rate of change to total revenue (in dollars) with respect to time when x = 10 and given that…

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Q: Find dy/dx by implicit differentiation. sqrt x+y + sqrt xy=4

A: Given,           x+y+xy=4

Q: What is the value of , x(x + 1)+ dx ?

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Q: find x for which = 0. dx

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Q: Calculate the error of approximation with EA for the following functions Fix) = In 3x. when x = 4…

A: EA = 0.0030056

Q: Evaluate x In x dx.

A: This is solved using product rule

Q: Find dy/dx by implicit differentiation  sqrt(xy)=x2y+10

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Q: Find the approximate value of f 10. ' to 4 decimal places using e su

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Q: - 1 dx

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Q: Q5: Find dx for the following functions: (3) y = ex.sin² x In√x

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Q: d Verify coth x = - csch² x. dx

A: Differentiation is the rate of change of some variable with respect to the other variable. If a…

Q: | 2e0.1x dx

A: here we will use 8 rectangle i.e. n=8 with right Riemann sum to approximate value of rectangle and…

Q: Find ſ Vx– 1 sinx dx

A:

Q: Calculate MN and TN for the value of N indicated.

A: Solution Given∫0π2sinxdx   , N=6we need to find the MN and TN for the value of N indicated.

Q: 4 dx X-X-2Ą

A:

Q: So Si S*x 1 су-х ху dzdydx

A: Let the integral be  I = ∫01∫x1∫0y-xxydzdydx 'I' can be solved directly by integrating individual…

Q: x² dx 4

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Q: S x³ e ³x dx

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Q: The height of an arch above the ground is given by the function y = 11 sin x for 0sxSr. What is the…

A: This question can be solved by applying the formula of average height of an arch.

Q: x2 dx V4 – x2

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Q: /2 dx by completingquam, show thad 353 スーx+

A: The integral function is ∫012dxx2-x+1=π33.

Q: 4. s(x) 3D 2х * sec(х)

A: "Since you have asked multiple questions, we will solve ths first question for you. If you want any…

Q: Use the Product Rule to calculate e2*. dx

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Q: if x = acos30, y = asin30 , find /1 + 2 dx

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Q: Find the antiderivative of sin(square root of 5x)

A: Consider the given function:

Q: Evaluate dy for f(x)= (square root of x) +3 where x=9 and dx=0.12

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Q: Find dy for X=3sec-vE tan (2t) and

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Q: dx x? – 4x + 5

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Q: valuate. (Be sure to check by differentiating!) 1 dx, x - 3+7x 3/7

A: Evaluate the given integral and check it by differentiation. ∫13+7xdx, x≠-37

Q: Evaluate (from 1 to 3) ∫(x^2+2)/x dx

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Q: Use the Simpson's rule to estimate e**dx with n = 4

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Q: dx Vsinxcos3x

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Q: Find dy/dx by implicit differentiation. x6+y7=45

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Q: Approximate S“ In x dx using three rectangles of equal length and left end points. Is your estimate…

A: The given integral ∫1e2ln x dx, three rectangles and left end points.

Q: In (x) -dx is equal to x2 The numerical value of

A: Given is an integration and we have to find it's numerical value. Here, we use the Integration by…

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

A: we have to find all possible functions with the given derivative y'=sin2t+cost2. the given…

Q: find the dearee of Precition. O foel F(x)= X

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Q: Find F dX, where x= 3 cost y= 1+3 sin 2r)

A: Given It has to find line integral of given parametrically curves Where

Q: What is the derivative of r(t)=e^(4t)costi+e^(4t)sintj+e^(4t)k

A: Differentiate both sides with respect to t.

Q: (x+6)dx (x+2)?

A: To evaluate: ∫x+6(x+2)2dx

Q: find using Serie s リ2 dx "I+X 2

A: As a first step, we need to obtain a series for the integrand.