Basic integration rules Please show the complete solution. Show it step by step ∫ x √4x+1 dx

Q: Evaluate x³ sin(x²) dx.

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Q: 6. х dx 7. 6х 'dx 8. 8х 'dx

A: i can answer first three question as per our company guidelines please repost remaining questions as…

Q: Using numerical methods find the value of -1.25 x² dx with h=0.25. 1+x3

A: Trapezoidal rule: ∫abf(x)dx≈h2(f(x0)+2f(x1)+2f(x2)+2f(x3)+⋯+2f(xn−2)+2f(xn−1)+f(xn)) Where 'h' is…

Q: x² dx √1+4x³

A: Solution of given question is written in below steps.

Q: Integrate and show all steps {x^2 *ln(x+1)dx

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Q: Integration by Substitution. The rate of growth of Grass carp, one of the most common type of fish,…

A: Given integral ∫13 2x+6x2+6x+2 dx

Q: Evaluate the definite integral. 3   1x3 dx

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Q: x dx 2 /9 – 4x²

A: Using integration

Q: Please show the complete solution. Show it step by step ∫ (3x2+2x)4 (3x+1) dx

A: ∫3x2+2x43x+1 dx Now put, 3x2+2x=t⇒32x+21=dtdx⇒6x+2 dx=dt⇒23x+1 dx=dt⇒3x+1 dx=dt2

Q: Using Integration By Parts, x² Vx? +4 dx =uv- [v du Find Uv- du 3 3 2 -4)2 dx || 4 3 3 2 +4) 2 dx 3…

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Q: Direction: Evaluate the following Definite Integrals Show a complete solution and annotate each…

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Q: 104 CHAPTER 5 INTEGRALS 7. (x*- + x – 2) dx 9. | (и + 4)(2и + 1) du x³ – 2x dx 3 - 11.

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Q: Integrate using the method of trigonometric substitution. Express your final answer in terms of the…

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Q: Indefinite integral (1/((x^2)-6x+b)dx How could I calculate the b value using u-substitution and…

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Q: 1.5(8x³ − 6x² + 12x - - 9)dx

A: Using the formula of integration x^n

Q: Integral of dx/sqrt(x2+4)

A: Given: The objective is to integrate ∫1x2+4dx.

Q: Basic integration rules Please show the complete solution. Show it step by step. Box the answer. ∫…

A: the given integral is: ∫3x2+2x43x+1dx we have to evaluate the given integral.   let the given…

Q: X3 dx 1+ x² %3D 8.

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Q: Integration by parts Show the complete solution, show step by step. ∫ √x ln(x) dx

A: To integrate by parts, ∫xln(x) dx

Q: OSycosy y dy Sin COS (y 3(-cos(y)+ 3, ANSWER: 3 y sin (y) 3. хе dx ANSWER.: - c *…

A: Please see the answer below

Q: solve the area of the shaded region. please use x and y as a variable of integration.

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Q: Basic integration rules Please show the complete solution. Show it step by step ∫ 5x+8/√x  dx

A: We need to integrate the given function.      ∫5x+8x dx

Q: Evaluate the integral. Check your answer by differentiating. (Use C for the constant of…

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Q: 8x' +13 -dx 4x' + 8x? +x +2

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Q: Basic integration rules Please show the complete solution. Show it step by step ∫ 2xdx/x2+3…

A: the given integral is: ∫2xx2+3dx we have to evaluate the given integral   let the given integral be…

Q: х3 dx (а2-х?)2

A: Given integral is ∫x3dxa2-x22

Q: Use integration by parts to evaluate the integral. Note that evaluation may require integration by…

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Q: 5. 3√√xdx 6. S dx dx 7. S- X 8. f s 2dx 3 2x -10

A: Given

Q: n. Show it step by step. Box the answer. ∫ 5x+8 / √x  dx

A: Given that : The integral is ∫ 5x + 8x dx .

Q: Basic integration rules Please show the complete solution. Show it step by step. Box the answer…

A: The given integral ∫cotθ-cosecθcosecθ dθ can be evaluated as, ∫cotθ-cosecθcosecθ dθ=∫cotθcosecθ…

Q: x² - 1 dx 2 2 X²

A: We have to solve above question

Q: 1. [(r* - 4x+1)dx

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Q: 4-x² dx 4

A: Let's find.

Q: - (Зх +1)dx УЗх - 2 3x

A: We have to solve

Q: 2-x² 12). %3= V= dx dy tHxy ) dyUtxメ).

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Q: 9 dx x² + 16 22 + 16

A: By using basic formula of integral we can easily solve it.       Whose detailde solution given…

Q: dx 4 sinx-3 cosx

A: Given integration is  I=∫dx4sin x-3cos x   Here integrant is  fx=14sin x-3cos x The trigonometric…

Q: Integrate using the method of trigonometric substitution. Express your final answer in terms of the…

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Q: + 3x + 2)dx 2.√ √x(x² – 3x

A: Given ∫xx2-3x+2dx

Q: 2 -ƒ_(x−1) -dx √x

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Q: INTEGRATION OF STANDARD FORMULAS. Note: Please don't use NEED ALSO SOLUTION PER ITEM OR NUMBER. 2.…

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Q: use integration by parts to solve. ∫ Inx dx

A: We will solve the integration.

Q: Indefinite integral (1/((x^2)-6x+b)dx How could I calculate the b value using u-substitution and the…

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Q: Integral   1 / (x2 + 2x +2)2 dx using C for constant of integration

A: The given integral is ∫1x2+2x+22. Simplify the denominator. x2+2x+22=x+12+12 Let us assume u=x+1.…

Q: 15.f dx 1+cos x

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Q: Evaluate the integral. Check your answer by differentiating. (Use C for the constant of…

A: ∫xndx=xn+1n+1+c

Q: 9-4x² dx (Use Trigonometric Substitution) x2

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Q: Integrate using the method of trigonometric substitution. Express your final answer in terms of the…

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Q: Using Integration By Parts ∫ x^3 √(x^2+4) dx find uv - ∫ v du

A: To give a representation for integration by parts.