2x2 +9x-1 dx x2 (x2 -1)

Q: x²+4x+10 x3+2x²+5x dx

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Q: 2- 3x- 3X- %3D

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Q: Integral of Rational Fraction Evaluate the following integral dx/x^3+3x^3

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Q: - (x³ +x² – 5x+15)dx (x² +5)(x² + 2x +3)

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Q: nction f(x) = find f-1(x). 3x+2 2+x

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Q: Using Substitution to Evaluate a Definite Integral Use substitution to evaluate 1 x² (1+ 2x )°dx.

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

A: Given; I=∫2x3-16x2-39x+8x2-8x-20dx We know that; The Power rule: ∫xndx=xn+1n+1+C And…

Q: Use partial fractions to evaluate the definite integral. Use a graphing utility to verify your…

A: Now, use the partial fraction to reduce the integral and after that integrate it.

Q: 16. 2x*-2x+1 16.5- dx 2x5-x4

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Q: sinh (x) esin h-' (x) sin h- (x) Vx²+1 -esin h¯' (x) sin h Vx²–1

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Q: sin -x/3) dx xp. Evaluate the integral| 19-x sin(x/3)dx -1 dp, %3D X-6/ 9-X

A: We have to find integral

Q: Find the area (in square units) of the region under the graph of the function f on the interval [0,…

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Q: Find: VE +4 dx

A: Let  I=∫x+4  dx

Q: S dx x²-x+1 (x+1)3

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Q: √5x²-3 d X - X -dx

A: Given problem:-

Q: Find the area of the region under the graph of the function f on the interval [−8, −1]. f(x) = 2 −3…

A: The graphical representation of the area is,

Q: 2. 2 + 9x dx

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

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Q: 3. dx Smix-hsxt2

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Q: Use partial fractions to evaluate the definite integral. Use a graphing utility to verify your…

A: Using partial fractions to evaluate the definite integral. To Use a graphing utility to verify the…

Q: (4x-2)dx x³-X² - 2x

A: We have to evaluate ∫4x-2 dxx3-x2-2x.

Q: Using integration by partial fractions the integral / 2r²+6x – 1 x3+x2+x -dx is equivalent to Bx +C…

A: We will solve using partial fractions.

Q: 4x 2+3x+2 x2(x+1)

A: Given,          ∫4x2+3x+2x2x+1dx

Q: ntegral of (cosec^3(x))..full steps pls :)

A: To find ∫csc3x dxFormuladdx(csc x)=-csc x cotxddx(cotx)=-cosec2x∫csc…

Q: x2 (x− 1)(x4 +8x²+16) dx- S

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Q: Derivative: Long Method(limits). Evaluate x=1/2 t^4 - 5t -3

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

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Q: anUNIVE Q3) Find the integration: - (x+1)vx2+2x

A: As you have asked multiple questions so I have answered only first question as per the…

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

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Q: 3x³+6x²+17x-5 dx x2+2x+5

A: First divide then calculate integration

Q: 9. f √x³-1dx x

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Q: examples of basic integration using constant rule

A: Examples of basic integration using constant rule.

Q: 2. x²+x+2₂ x²-1 -dx

A: Follow the procedure given below.

Q: 20. (x-2x³+1)dx (x² - 2x+5)

A: I am attaching image so that you understand each and every step.

Q: 5x² – 4 dx x3 + 2x2 3.

A: (3) Given: - The indefinite integral is, ∫5x2-4x3+2x2dx To find: - The solution of the given…

Q: 2 -ƒ_(x−1) -dx √x

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Q: Function 1 2 x +1 on the interval (-3,3) and has n=5. Evaluate the function using integration.

A: We will use basic integration.

Q: Partial Fraction: Evaluate integral

A: We perform long division to simplify the given integral.

Q: 15.f dx 1+cos x

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Q: dx x -8

A: first of all ,we will do partial fraction

Q: Integration of Rational Function using Partial Fraction Show the solution: 4x3-x -dx x²-x-30 = 2x(x…

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

A: We are solving the first question and for the next question post the question again and alsomention…

Q: x²+x-1 dx 5x² + x3-x

A: First we take partial fraction then solve it.

Q: f(x)= square root of 4x -x2 g(x)=square root of -48+16x-x2 h(x)=1-|x-13| Evaluate the integrals of…

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Q: USING QUOTIENT RULE DIFFRENTIATE 2x-1 x+1

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Q: x3 dx x6+15x++75x²+125

A: Here we substitute x2 = t to solve this integration.

Q: using integrationof Rational fuctions by partil fractions to solve The Following integrations 2. X…

A: Solution

Q: Integrating Polynomial Functions ∫(x + 2) dx = ∫x dx + ∫2 dx

A: