If the substitution u=1+/x is made, then (1+/x)3/2 dx =D

Q: The linear approximation at x 0 to sin(2x) is A + Bx

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Q: 2. Evaluate the integral 4 dx V2x-5 5/2

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Q: Find the implicit deriviate (dy/dx) of (2x+3y)1/3=x2

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Q: What is dy/dx of 1/2e^2x

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Q: Find

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Q: 3. 'Evaluate the integral. 5 dx х0.2

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Q: Evaluate the integral 2 dx where fx) if -2 s xs 0 16-2 if 0xs3

A: Given function is The integral isThe integral can be written as: Plugging the function and applying…

Q: 1. Evaluate the integral 5x + 1 dx 2x2 - x -1

A: We can evaluate the given integral by using the partial fraction method.

Q: 2 dx =

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Q: (雲) 1 dy tion 1+ is = 3 dx wy da 3, 1 12, 1 1, 15 15, 1

A: We have to choose the correct answer

Q: 3. Find a result by using homogenous for (x³ - 3x²y)dx- (x³y³)dy = 0

A: According to guidelines I have to provide answer only for  first qiestion...Thanks

Q: r(10,3,3) dx (1,1,1) dy dz. - -

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Q: Evaluate fx" In x dx for n ‡ −1. Which method should be used .-1 to evaluate fx-¹ In x dx?

A: We have ∫xnlnx dx   , n≠-1 Integration by parts is ∫fg dx=f∫g dx-∫ddxf∫gdx dx Using integration by…

Q: Evaluate the double integral 1 2x+1 LL.** Select one: | None of them 113 x² dy dx

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Q: /4 - x2 the integral | dx, becomes

A: Given the integrationI=∫4−x2x2dx

Q: find dy dx 15 In 4+ xe) 6

A: dlnax+bdx = a.1ax+b.

Q: Evaluate the double integral 2. dy dx 3/x

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Q: 5. Find the integral 1 -dx x -5x +6

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Q: The general antiderivative determined by - x² - 3x +2 is dx

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Q: 30. 5e dx 31. Зи du - 1 33. x² dx 35. (x+5)* 37. xp (3 In z + 2)4 39, -dz

A: We will solve the integration.

Q: find dy / dx by implicit differentiation.

A: We have use implicit differentiation in the following equation to find dydx. 2x3 + 3y3 = 64

Q: 2. Integrate using Trig: cos° x dx

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Q: -2.1 1- e* Use Simpson's rule to approximate -dx. x² + 2x – 1 1.2

A: This is a problem of numerical Integration.

Q: integrate (2 + x^2)/x^1/2 dx from 1 to 4

A: to find I=∫142+x2xdx

Q: and d^2y/dx^2 for

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Q: 5 一=A+hxsl-x dy=?

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Q: Use an appropriate substitution to integrate 12 x*(x++ 1)°dx

A: The given integral is 12x3(x4+1)9.

Q: find dy/dx of x^5y-xy^5=1

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Q: d 1+ tanhx - Show that dx V - tanh x

A: To show: ddx1+tanhx1-tanhx4=12ex2 Simplfiying 1+tanhx1-tanhx,…

Q: Integrate dx/(x+1)(x^2+16) from 0 to 1

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Q: In integrating the function fx In 5x dx using integration by parts, what would be your v?

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Q: compute (x2 - 8x +20) dx on the interval (0,1)

A: To evaluate the given definite integral over the open interval (0,1)

Q: 2. Evaluate the integral: 2xe-**dx -0

A: topic - integration

Q: t seel dx

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Q: What is wrong with this calculation? 1 dx In |x||, = In 1 - In 1 = 0 - 1

A: The integral of 1xwith respect to x is log(|x|). where x≠0, cause if it is zero then function became…

Q: 1 dx is finite -1 X Select one: True False

A: True

Q: 3. Find the integral. 2x dx x2 + 10x + 29 а.

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Q: Find dy/dx of 6x? – 4y² = 10 at (1, 2) 3/2 None of these 4/3 -3/4 -4/3

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

Q: dy of y = sin(3x² + 5x – 4) * In(e*) is dx

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Q: In (5x) dx 1 In (5x) dx = (Do not round until the final answer. Then ro

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Q: One of the correct steps to evaluate x²lnx dx to yield the correct integral (A x2 – 2 | dx x³Inx В…

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Q: Compute both dy/dx and d^2y/dx^2 if x^3 + y^3 = x.

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Q: Find oy for dx2

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Q: Q.4 Using the method of substitution the integral fxer-3 dx

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Q: 10х> — 5х For the integral -dx , if u = x*-x2+6 then Mdu = (10x³-5x)dx, what is %3D x4-x²+6 M?

A: We have integral ∫10x3-5xx4-x2+6dxifu=x4-x2+6

Q: find the antiderivative of dx/sqrt(ex-1)

A: To find : The antiderivative of dxex-1 Solution The antiderivative can be evaluated as, ∫dxex-1 Put…

Q: Calculate cln 2 I = Ver – 1 dx thanks to the change of variable u Ver – 1. U = -

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Q: Use Euler's method (with all details) to find approximate value of = 2y - 2x² -3, given that y = 2…

A: Given: y'=2y-2x2-3 , y(0)=2 , h=0.3. We find y(3) by using Euler's method. The formula for Euler's…

Q: 1 B3. Evaluate dx, using substitution method.

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