| x In(x) dx

Q: (In(x))² dx

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Q: Evaluate the following integrals.

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Q: Evaluate the following integrals b- 4 2vx dx

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Write the correct u and du. S. Ve 3x – 16 3e…

A: Given:  1) ∫3e3xe3x-164dx   substitute u=e3x-16       dudx=3e3x→dx=e-3x3du      =∫1u4du…

Q: Find each of the following integrals in at least 3 or 4 steps, as indicated. S sin*2xcos 2xdx 1.

A: ∫sin4(2x) cos3(2x) dxWe substitute  u=2x⇒ 2dx= du ⇒ dx= 12du :=∫sin4(u) cos3(u) 12du=12∫sin4(u)…

Q: y3 – y-2 dy y?

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Q: Evaluate the following integrals, Debe Justify all steps. x + 4 dx x3 + 3x2 – 10

A: Let's find the factors of x3+3x2-10 using the roots of equation. We can use Cardan's method to…

Q: (Inºx– 3lnx) *dx

A: Given that∫ln6x-3lnx4x dxSolution :let…

Q: Evaluate each of the following indefinite integrals using substitution, expressing your final answer…

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Q: 6.) | dx 4 – x²

A: Let the given integral is ∫x34-x2dx

Q: [ (2x+6)*dx 3.

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Q: x3+4x dx x²-1

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Q: dx 9. S x²+25

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Q: Evaluate the following integrals.

A: Integral is ∫x-2+x-3x-1+16x-3dx

Q: V4x2 + 9 dx (a)

A: Given :         ∫4x2+9x4dx

Q: S 42x dx

A: Given,           ∫42x3dx

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. 1. dx

A: see below the answer and calculation with steps

Q: S(x³ + 2x)*(x² + 4) dx

A: To find integral I=∫x3+2x5x2+4dx

Q: x dx x*+16

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. dx 2. 4-x-

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Q: Evaluate the following integrals. 9 – x2 dx - 1.

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Q: Evaluate the following integral between x=-6 and x=5: 4х — 5 dx -

A: This question is based on definite integral.

Q: dx 2. x²V4-x?

A: Just use the trigonometrical substitution to make integral easy and then solved it.

Q: Evaluate the following integrals. Show all the necessary solutions. 5 - 4x² dx 4. 3 + 2X

A: Here we have to integrate the given Integral.

Q: dx 5. (x+100)/x+99

A: A common integration is, and a common differentiation is, Also,

Q: r(x+4) dx

A: To findI=∫x+4xdxwe know that ∫xndx=xn+1n+1

Q: -dx (x+3)(x²+5)

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: dx 2. x?V4-x2

A: Let x=2sin(u)⇒dxdu=2cos(u)⇒dx=2cos(u) du  and u=sin-1x2 ∫dxx24-x2=∫2cos(u) 2sin(u)24-2sin(u)2du…

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution . 1.

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Q: | (3 – t) (2t² + 3) dt 15.

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Q: (xe* dx

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Q: 4. ſ sec*xtan3xdx 5. ſ cot³xcsc³x dx

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. dx x²V4-x2

A: The given integral is 1/[x2 sqrt(4-x2)].

Q: Evaluate the following integrals.

A: We have to solve the following integral ∫3x2+3x+1x3+xdx Now, we will solve this by partial fraction…

Q: (Inºx– 3lnx) +dx (A Inx B Inºx © Intx D In x- 3lnx E In x- 3 (F) None

A: The integral is  ∫ln6x-3lnx4xdx

Q: Evaluate each of the following indefinite integrals. S V2 – 3x dx

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Q: x3-8 dx x-2

A: ⇒ Expand x3-(2)3 = (x-2)(x2+2x+22). ⇒∫xndx = xn+1n+1 +C   ; Where C is constant of integration.

Q: (x+1)dx x²-3x+5

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Q: (x2 + 2x - 2)dx 3

A: The objective is to evaluate the definite integral .

Q: S 3* 2*dx

A: We have to use the exponential rule of integration . From the exponential rule of integration we…

Q: Evaluate each of the following indefinite integrals using substitution, expressing your final answer…

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Q: 3 x* +5x dx 1

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Q: 1. (x² – 4x +4)x

A: Given:       ∫x2-4x+443dx    =∫x-2243dx     =∫x-283dx  substitute u=x-2→dudx=1→dx=du        =∫u83du

Q: Evaluate the following integral. 00 dx ,2 x + 6 1

A: Now consider,

Q: Evaluate the following integrals |(x*/3x3 – 4 dx

A: Here, the function of x inside the square root on differentiation gives the function outside the…

Q: 2. dx

A: Given: ∫ x3ex4-3dx

Q: Evaluate the following integrals (x' Inx dx

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Sh dx

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: Sx(Vx – 1) dx

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Q: Evaluate the following integrals C. [x√x + 1dx

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