2x dx V5 + 4x – x2

Q: 2x e d.x 4e2 – 8e" + 5

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Q: x +3 -dx What is the antiderivative of 5% + 6r/2 + C 5 A 6x/2 + C B © A (oxs +1) + c 5 6 (D) 7 12 +…

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Q: Sxe*dx Use integration by parts and simplify your answer. ex — хе* + C x + e* + C >>>> x - e* + C…

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Q: Find the antiderivative dx/(x2-100)2

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Q: 49 x2 f(x, y) dy dx f(x, y) dx dy Jo 49 y2 Viewing Saved Work Revert to Last Response

A: Topic:- application of integration

Q: B. Integrate the following using the basic rules of integration and substitution. 1. fx² + 5x3 –x-3…

A: Given problem:-

Q: Evaluate dx K) at and ) dt, where a and b are constants. dx ](Simplify your answor.) %3D ] (Simplify…

A: Use fundamental theorem of calculus

Q: x4 + 15x2 + 3 dx x5 + 25x3 + 15x

A: Topic = Integration

Q: y² dxdy o Jax Vy-a'x² a) Change the order of integration and evaluate .2

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Q: Evaluate the antiderivatives. 2x dx 5 S

A: ∫2xdx/5 ∫axdx = ax/lna here a =2

Q: 5. Evaluate 2:3 √³+5 s dx.

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Q: 32 Evaluate (t- 2t)° dt dx J2

A: Here we use fundamental theorem of calculus

Q: 7. S(x – 9)7 dx 8. S: r5 dr V3-r6

A: Given query is to solve the following using the substitution:→∫x-97dx→∫r23-r6dr

Q: B. Integrate the following using the basic rules of integration and substitution. 1. fx2 +5x-x-3 dx…

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Q: dx ? What is the antiderivative of the integrand 2e* A - 2e -* + C + C 2 (c) - e -× + C D - 2 e* + C

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Q: (x+ 1) dx using the substitution of u =x +3. Vx + 3 (c) Evaluate

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Q: У(x? — у? + 1)ӑх -x(x? — у? - 1)dy %3D0

A: The given equation is yx2-y2+1dx-xx2-y2-1dy=0 Compare with Mdx+Ndy=0 to get: M=yx2-y2+1 and…

Q: e2 dx 4e2x – 8e* + 5

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Q: If x =0.51 and y = 0.1, then value of C in the antiderivative of F(x) = xsin-(x) is V1- x2 Add your…

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Q: Integrate using appropriate U-Substitution. You must label u and du: (x - 1)(x + 1) 15x -5x³ S dx u…

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Q: 1 I = dx V(a-a)(x-a-2b)

A: Given data: The given integral is I=∫1a-xx-a-2bdx. The given integral can be written as,…

Q: / 2x/64 – x* dx Evaluate the integration by substitution 16л 4л

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Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

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Q: a Find the antiderivative of: ii x? iii 25 iv r-2 x-4 at vii 2- V b From your answers in a, predict…

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Q: x?+2 x2+1 1. What is an antiderivative of a. x + arctan x- 5 b. x+ arccot x c. 2x + 3 d. x + 2arctan…

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Q: 1+2 sec(- T sin(, r) ta il

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Q: Differentiate these using the product rule. Write your answers in fully factorised form with the…

A: NOTE According to our guidelines we are supposed to answer only one question and three subparts.…

Q: Let y 3x². Find the change in y, Ay when x = = 4 and Ax = : 0.2 Comm Find the differential dy when x…

A: We have to solve given Questions.

Q: dy You need not expand your answer. dx Calculate y = 3.9 + (x² + 1) 3.9 dy dx Need Help? Read It

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Q: antiderivatives: a) 13t – 616 – 3 dt = +C. 1 (b) +7 Vū du = u/4 +C. (c) dx = 2x4 +C.

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Q: dy You need not expand your answer. dx Calculate y = (7x2 + x)(x - x2) dy dx

A: Here a function y is given as a product of two functions . We have to find the derivative of the…

Q: evaluate using the appropriate method or combination of methods.

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Q: dy Calculate Y. You need not expand your answer. dx Vx - 3 y = Vx + 3

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Q: dx 4e2a -8e+5 e

A: We want to find the integral.

Q: dy 1 y? +y 3

A: We have to integrate.

Q: Find the antiderivative dx/(49x2+16)2

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Q: What is the antiderivative of -dx? A 6x2 1/3 + C ® x/3 (2x% +9) + c %% + 6r/2 + c /2+c

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Q: x² – 25 S The antiderivative of dx is V x2 – 25 – sec-lx+ C. A True В False

A: follow next step

Q: b) Change the order of integration for So Sx - y) dxdy then evaluate it.

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Q: dx ? What is the antiderivative of the integrand 2e* A) -2 e + C B *+ C - 2e * + C + C 2 D

A: The given integrand 12exdx

Q: dx By algebraic substitution, the integral |- -dx is converted to: 4+x dy A y+4 2ydy B у+4 2 dy y+4…

A: We can solve as follows

Q: dy Calculate dx . You need not expand your answer. 2x + 2 4х — 5

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Q: Evaluate (x+y-4z) dV where E = {(x, y, 2) | - 6< y S 0,0 < æ < y, 0 < z < x + y²} . Round your…

A: We need to evaluate ∫∫∫E(x+y-4z)dV where E={(x,y,z) | -6≤y≤0 , 0≤x≤y , 0≤z≤x+y2}

Q: Find the antiderivative x3 (i) dx (3–2x)5

A: Since there are multiple questions present and you have not specified which question to answer,…

Q: Jse the information to find and compare Ay and dy. y = x4 + 2 x = -1 Ax = dx = 0.01

A: Here we have,

Q: B5. Find the integrating factor by inspection then solve.  y(2xy + 1)dx - xdy = 0

A: find out the integrating factor by inspection and then solve the differential equation.

Q: .3 dx Vд? - 25 Vx2

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Q: Evaluate dy if y = (2x + 1)3/4, x = 1, and dx = 0.03. What quantity does this answer represent

A: Given  y = (2x + 1)3/4,  x=1 and dx = 0.03  We have to find dy

Q: 12. /x² + 9 dx

A: Please refer the attached image for complete solution.

Q: x dy-y dx = x3 dx y" Answer: 4x + x4y + x¹y = Cy.

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