dæ Evaluate: a/9x2 + 4

Q: The integral expression J xsin?(2x)dx Suav=uv-Jvau u can be evaluated using integration by parts of…

A: We have to find integration

Q: A Jsin(3x)cos(4x)dx = [ sin(7x) – sin(x). A dx 2 * cos(x) – cos(7x) ® Ssin(3x)sin(4x)dx= [co c) All…

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Q: 2r+3, x<I f (x) dx if ƒ (x) = 5, Evaluate

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Q: V52 -9 dx 3x

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Q: Which of the following will yield an inverse trigonometric function?

A: answer is in next step

Q: Use the Laplace transform to solve the given system of differential equations. dx = -x + y dt dy =…

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Q: 2-/2x+1 Let F(x,y) = C be the antiderivative of f(x) = What is the value of C if x=1 3-2x and y=2 ?…

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Q: The general solution of xty= -x³y- csc(xy) is 2x?cos(xy) – 1= cx B 2x?cos(xy) +1= cx? (с) -2хсos(xу)…

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Q: Question 11 Evaluate: (ed"+1) /Ted" + 1)?-4 3x A) None B sec -C sec D sec-1 +C E +C 2 Sec-

A: First we put e3x+1=t and differentiate both sides with respect to t and solve it.

Q: 2х + 1 The antiderivative of f (x): is (x – 3)? (x – 2) x - 2 A F (x) = 5 ln +C x – 3 x - 3 B None…

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Q: 'x/2 dx Using an appropriate algebraic substitution, the integral - 1+x3/2 reduces to 2y² dy A 1+y³…

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Q: sing trigonometric substitution technique, the simplified integral after substitution is: x² - 4 A…

A: To solve the following integral

Q: To evaluate sin*2x cos 2x dx , the identities to be used is/are: sin4x, 1- cos4x A 2 B cos²2x=1-…

A: Solution:-  This types of trignometric integrals can be solve by reduction formula of integral.

Q: Suppose that f is a twice differentiable function and that its second partial derivatives are…

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Q: Solve the integral: dx

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Q: Which of the following is true? 10 @ Jsin*(x)cos°(x)dx = - cos (x) , cosº(x) cos(x) + C 4 10 (B) All…

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Q: To evaluate y?csc2(y³)cor?(y³)dy, we let u =csc(y³) A True B False

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Q: 2-/2x+1 Let F(x,y) = C be the antiderivative of f(x) =- What is the value of C if x=12 and y=9 ?…

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Q: The integral expression J xsin (2x)dx can be evaluated using integration by parts of the form Judv =…

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

A: topic - integration

Q: Let x = 1.14 and y = 1.58. Determine the value of C when you evaluate cot *(2x)dx.(use radian form…

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Q: dx Using half-angle substitution, the integral is equivalent to 2+ sin x dz A 1+z+z? dz (B (1+z)? ©…

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Q: Which of the following is true? O Scos(3x)cos(4x)dx= [ r cos(x) + cos(7x) dx B Jsin(3x)cos(4x)dx= […

A: Option D

Q: S. | sech (Insinx) cotxdx=2tan - (sinx) + C

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Q: Which of the following trigonometric substitutions is the most appropriate to the intgral (4e2x +…

A: Given query is to find the most appropriate substitution.

Q: To evaluate | sin42x cos 2xdx conveniently, the formula/identity to be used islare A sin²2x=1–…

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Q: The integrating factor of the LDE y =x-2ycotx is A cos?x B sin?x C sec?x D csc?x

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Q: Is this improper integral type 1 or 2

A: To tell whether the given improper integral is of type 1 or type 2. Definition of an Improper…

Q: The particular solution of y(x+ y)dx + (x +2y- 1)dy=0; y(0) =2 by NEDE is A x(x+y-1) = 4e* x(x+y-1)…

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Q: ſla(Ji + s)dt 1.

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Q: The OT of the DE of the family of circles with center at the origin is (A) x= ky B xy= k x-y=k D)…

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

A: topic - Synthetic division

Q: 25— х2 -dx , if we let u=V 25 – x2 , then udu = – xdx. A True B) False

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Q: The result of the integral in 0 given |V y²– 25 -dy is 5 tane – 50 +C, y (A) True (B) False

A: To solve the following integral

Q: Evaluate: intdfracdæleft(r- 4right)left(z - lright) X-4 + C X-1 None of the given choices X- X-x 3in…

A: We can write the given expression as integration of 1/((x-4)(x-1))dx .then using partial fraction…

Q: x/4 The definite integral sin24x cos2x dx is equivalent to x/2 1 -sin20 cos20 de A x12 2sin20 cos40…

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Q: To begin evaluating sin*x cos x dx , express A cos x to (cos?x)°cosx and use the identity cos?x=1-…

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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: The population of Guinea pigs in a certain place increases each month exponentially. After a month,…

A: Follow the procedure given below.

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

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Q: Af ter evaluation, if tan 43rdr=tan 3r- ( ?) tan3r +r + C, then find the missing (?) term. 9 A 3 B…

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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: Question 10 Evaluate: Jev*dx. 2ev(/x+1) A +C 2 2ev/x-1) В + C C) © =2ev/x- 1) +c

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Q: 1 Using the power series representation rɔn with interval of convergence 1 – 75 n=D0 1 x E (-1,1),…

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Q: To begin evaluating sin*x cos x dx, express 1+ cos2x cosx to (cos?x)^cosx and use the identity…

A: We have to find out

Q: complete

A: We have to choose the correct option according to the given information

Q: Suppose a population of insects increases according to the law of exponential growth. There were 130…

A: Since the population increases by law of exponential growth.

Q: 6x? + 23 – 9 is F (æ) = a ln (Jæ + 3|) + b ln (Jæ|) + d ln (la- 1)+ C then which of the 3 + 2.x2 –…

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Q: 6x2 + 23x – 9 The antiderivative of f (x) is F (x) = a ln (|æ+ 3|) + b ln (Jæ|) + d ln (|x – 1|) +…

A: Given fx=6x2+23x-9x3+2x2-3x We ha1ve to find ∫fx=∫ 6x2+23x-9x3+2x2-3xdx…

Q: Match the Integrals on the left side with the appropriate technique of integration to use on the…

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