(5 – V9 – x²) dx -3

Q: √√x-³√x+3x-1 dx 1. S

A: The calculation follows as:

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A:

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A:

Q: | sin³y dy ,3.

A: Given: ∫0π3sin3ydy

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A: Given: ∫dxxx2+2axPut t=x+a,  dt=dx  also…

Q: Differentiale and integrate Hhe ff. power seties. 1) fx): n=0 2n nr4 (3n-4) x 2.) f (x)-= n=1

A:

Q: X-2 dx Evaluate the integral: Sein(x²+3x-7) A x²+5x+In|3x-6|+C B ++ In|3x-6|+C 2 5 © +²2+5x+In/x-21…

A:

Q: Find a differential operator that annihilates the given function. x* eX -x sin 2x + x 4 x 3 A…

A: Given function is x4ex−xsin2x+x3. We have to find the differential operator that annihilates the…

Q: Using integration by parts, Then k is? (a) - 1.5136 ²x³ cos x³ cos(x²) dx = k - [*x sin(x²) dx 0…

A: Solve it

Q: Advertising Jesaki Inc will sell N units of product after spending $x thousand in advertising, as…

A: Please refer to the image below

Q: Solve by the Green's function approach developed in class: 2* g" + xf' – f = 1/x with f(0) = f(1) =…

A: The Green's function approach -x2f"+xf'-f=1x......(1)with f(0)=f(1)=0Now solving equation (1) as a…

Q: (1 (x Solve: Jo J² +y² ²+y² x²dydx S S

A:

Q: 12. [-/5 Points] DETAILS HARMATHAP12 13.2.051. In this problem, use properties of definite…

A: Given below the detailed solution

Q: Finding solutions with Integrating Factors 9. Solve y(x²y² + 2)dx + x(2 – 2x²y²)dy = 0

A:

Q: (2 + z² – xy) dz dx dy

A: Given           ∫12∫02∫-11 2 + z2 -xy dz dx dy

Q: In 2 e2x dx /1 + e*

A: power rule: ∫undu=un+1n+1 Use basic rules of integration to solve the problem.

Q: -x e 4e dx

A: Given: I=∫e-x33-x4e-xdx

Q: definite integral* (b=10) (a=0)   ((10e^-x)*((x^3)+(2x^2)-3x+1)) dx

A: definite integral.. I=∫01010e-xx3+2x2-3x+1dxI=10∫010e-x(x3+2x2-3x+1)dxintegration by part…

Q: 1. Use the Fundamental theorem of Calculus 1 to evaluate the integrals. Please give exact answers.…

A:

Q: integration function -1 ₁ 2²√x+¹(xy + 1)dydx 817718418 20 20 40 20 not of above - A - B - C - D

A:

Q: 2² cos(4x) dæ

A: The given integral is ∫0πx2cos(4x)dx Using successive integration by parts by taking x2 as a first…

Q: *definite integral* (b=10) (a=0)   (10e^(-x))((x^3)+2(x^2)-3x+1)   dx

A: Our aim is to compute the integral of the function given below:- ∫010(10x3ex +2x2-(3x+1))dx…

Q: 3. Vsin x+1 cos.xdx

A: Solution

Q: dx V1 + 8x

A:

Q: Using integration by parts, Then k is? (a) - 1.5136 [x² cos(x²) dx = k - [*x sin(x³) dx fx 0 (b) -…

A:

Q: t' sin(2t*) dt

A: given,       ∫t7sin2t4dt

Q: ydz + [y+tan (x+y)]dy: 0,

A:

Q: II. Definite Integral a) E [(x² – 1)(x + 1)-']° b) Evaluate (x99 + x-1 + e¬x + sinx – (sin²x +…

A: As per our company guidelines we are supposed to answer only 1 question. Kindly repost other parts…

Q: Complete bwo iter atiery of newfon methodd t n-f(xn) \to find approximate solution t the equation…

A: on solving this by Newton raphson method we will get

Q: | (423 – 92² + 7x + 3) e¯² dæ

A:

Q: 2x – x3 dx J (x – 1)2(x² + 1)

A:

Q: 3. (2 + 5z) e* dr

A:

Q: Z3[x]/ is Not Integral Domain None of the choices

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Q: Test for exactness. If exact, solve. If not, use an integrating factor as given or obtained by…

A: Given :- 2x tan y dx + sec^2 y dy = 0

Q: Сompute 1. f dx, where f(x)=|x|.

A:

Q: | (3t + t*) sin(2t) dt 3.

A:

Q: x² to compute the integral x· V1 – x4 dx. [Hint: the Use the substitution u = FTC is great, but not…

A: Given integral, ∫01x 1-x4 dx

Q: ,3 dx (x2+а2)3

A: Given integral is: A=∫x3(x2+a2)3dx                   (1) Use substitution method to solve this…

Q: xsin-!xdx The antiderivative of -is x+V1-x² sin-!x+C 1-x2

A:

Q: | sin'y cos*y dy 프2

A:

Q: cos*t – sin²t dt

A: Given  ∫x3xcos4t-sin2tdt   As we know, ∫ f(x) ± g(x) dx =∫f(x)dx ± ∫g(x)dx

Q: arts, letting dv = V6 – x dx. -- x dx, integrate the differential equation to obtain the 2 = /(6 -…

A:

Q: x2 cos(t) + 3 dt

A: Given: ∫2x2cost+3dt.

Q: dy Vy+4-2

A:

Q: dy 1.5: ey sin( e-y)

A: To evaluate the given integral: I=∫dyeysin(e-y)

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A:

Q: S sec20 · tano(1+ 3tane)ž do

A: To determine the indefinite integral.

Q: dx х? V4 — х2

A:

Q: С. REDUCTION OF ORDER AND VARIATION OF PARAM 1. (D2 + 4) y = tan 2x

A: We have to find out