25.In solving r In(In x) dx , which substitution should be used? O A. u = In(In æ) In a O B. U = Oc. 1 u = In . -

Q: e4X dx Which of the following trigonometric substitutions is the most appropriate to the intgral…

A: Integration

Q: What is the general solution for following differential equation? y′−x=8 (Do not include the "+C"…

A: Find the general solution for following differential equation?   y′−x=8

Q: sin?u tan"u du where n is any integer, we use the transformation for tan?u = cos?u In A True B False

A:

Q: dx dx is converted to: 4+Vx By algebraic substitution, the integral - 2ydy y+4 B y+4 © [ vdy y+4 dy…

A: Given, u= ∫dx/(4+√x) We can solve it by substitution method.

Q: (4x²+ 5x+) dx (x+1) (x²– 6x + 34)² By method of partial fraction, the integral can be evaluated when…

A:

Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos"(x) for x = 0.205 and y =…

A:

Q: dx The only solution to evaluate is using algebraic substitution technique. 3+V. (A True B) False

A: To find whether given integral can be solved only by algebraic substituion technique

Q: a.) S dx/x²+4x+5 b.) S(cscx – tanx)²dx

A: topic - indefinite integral

Q: Use synthetic division to show that x is a solution of the third-degree polynomial equation, and use…

A: topic - Synthetic division

Q: The x2- 4 dx can only be evaluated using trigonometric substitution technique . A True B) False

A: To find if the given integral can be solved only by algebraic substitution technique.

Q: 6 3 х+7

A:

Q: dx The only solution to evaluate is using algebraic substitution technique. 3+V

A: Follow the procedure given below.

Q: Evaluate: Jcos 2xdx cos2x, cos³2x + C 6 A + 2 cos 2x + C 6 cos2x B sin 2x + C 6 sin2x 2 sin2x sin32x…

A:

Q: Evaluate: Je*cos(7e*)cos(4e*)dx. 1 @ sin(3e*) - sin(11e*) + C A 22 O cos(ae) - cos(1le") +c 22 1…

A:

Q: Find 2f (x) dx jf f (x) dr=2 and f (x) dr= - 6

A: We have to find out

Q: Evaluate: Jcos 2xdx cos2x cos32х + C 6 A 2 sin2x sin32x + C 6 B 2

A:

Q: Let x = 1.84 and y = 3.72. Determine the value of C when you evaluate cot *(2x)dx, (use radian form…

A:

Q: sing reciprocal substitution *= the integral - dx reduces t I dz -1) 13 -dz (z?– 1) 1/3 zp- D dz

A:

Q: (4x²+ 5x*)dx (x+1) (x²– 6x + 34) 2 By method of partial fraction, the integral can be evaluated when…

A: Please see the below picture for detailed solution.

Q: Question 8 Evaluate: Jcos 2xdx cos³2x + cos2x A + C 2 cos³2x + C 6. cos2x B sin2x sin32x + C 6.…

A: topic - integration

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

A:

Q: x dx is equivalent to If we let u = V 5+x, the integral 5+x A) u (5- B |u(u²-5) du (C | 2(u²- 5) du…

A:

Q: sin?u tan"u du where n is any integer, we use the transformation for tan?u= cos?u In A) True В False

A: Here we have to state whether the given statement is true or false.

Q: By algebraic substitution, the integral - dx dx is converted to: 4+x 2ydy (A y+4

A: Option a is the correction and other option does not satisfy the given conditions

Q: Which of the following will yield an inverse trigonometric function e2* dx A 4+e2r ydy B -16 wdw 25-…

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Q: x +1 8. J x(x+ 4)3 dx

A:

Q: x² dx Using trigonometric substitution, the integral is equivalent to A 4 sec²0 tan0 dô B | 4 tan 0…

A: Trigonometric substitution for x2 - a2  is x= a sec(theta)

Q: Determine whether the function is one-to-one. If it is, find a formula for its inverse. f(x) = x +7…

A:

Q: Question 16 n2x cos3x dx= sin5xdx - sinxdx A) True B False Question 17 csch2zdz=–In|csch2z –…

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Q: Calculate the integral. (Use symbolic notation and fractions where needed.) 8. |2x – 4| dx =

A:

Q: To evaluate sin42x cos 2x dx , the identities to be used is/are: sin4x, 1+ cos4x &- 2 (А) (B) cos?2x…

A:

Q: x2 dx Using trigonometric substitution, the integral is equivalent to V-4

A: Given∫24x2dxx2-4Substitute x = 2sinθDifferentiate x w.r.t θdx=2cosθdθNowIf x = 2…

Q: Use the cross product to find the area of the triangle with the vertices P = (1, 1,5), Q = (3,4, 3),…

A: Here we have to find the area of triangle.

Q: Evaluate: 2ev/x+ 1) + C (A) ® =2ev(/x-1)+C B 2evx(/x-1) +C = 2ev(/x+ 1)+C

A:

Q: dx is using algebraic substitution technique . The only solution to evaluate 3+ A True В False

A:

Q: |に1寸に! Question 8 (x-2) Which of the following is/are true about the function g if g(x) 9-x+2 1. g…

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Q: Knowin that "first image" is iqual to zero for any natural number 0<= m < n .   Determine the sum…

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Q: 3x^2 + 42 + xy = 5 and y(5) = - 18, find y' (5) by implicit differentiation

A:

Q: То evaluate sin 2x cos 2xdx conveniently, the formula/identity to be used islare cos²2x=1 – sin²2x…

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

Q: 1. Determine the interval in which the unique solution of the initial value problem exists. (You do…

A:

Q: 19.Which of the following can be integrated using substitution? O A Sæ sin?z dæ O B. Sæ sin(x?) dæ O…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the high…

A:

Q: Question 11 dz (9). Using the miscellaneous substitution z=tan match the integral expression on the…

A: Let's find.

Q: 1 - tan³3r - ( ? ) tan3r +r + C, then find the missing ( ?) term. 9. Af ter evaluation, is / tan…

A: To solve the following integral

Q: x*dx Using trigonometric substitution technique, | the simplified integral after substitution is: x²…

A:

Q: 2r+3, x<1 f (x) dx if f (x) = 5, Evaluate x21 A 21 B 19 28 D 16

A:

Q: x- dx Using trigonometric substitution, the integral is equivalent to A 4 sec20 tand do /2 B 4 tan-e…

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: Which of the following is equal to sec 2 x tan³x dx to obtain the correct indef inite integral?

A:

Q: Find the area enclosed by the given parametric curve and the x-axis. x = 5 sin(t), y = sin(t)…

A: To find the area between the parametric curves

Q: Suppose that $83,000 is invested at 3-% interest, compounded quarterly. a) Find the function for the…

A: $83,000 is invested at 312% interest, compounded quartely