8 . 2 | f(x)dx 38 what is Given that f(v)dv? 11' 2 8.

Q: S dx √4x² - 49 x > 72

A: In order to integrate easily certain assumptions need to be made by using some variables.

Q: 3 Evaluate 7x? dx 1 7 (Hint: f(x) = 72? and F(x) = a*) 3

A: The given integral is: ∫137x2dx Since, 7 is a constant, so take it out side. ∫137x2dx=7∫13x2dx The…

Q: 台)。 is dx x²+3x? 2. negative 2 over x cubed 213

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Q: J 1 (x + 5)²(x - 1) -dx

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Q: f(x) dx = 6, xf(x?) dx. Jo FIND

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Q: True or false: True False d dx 2 + ² = 1/2 2+ - X

A: d(xn)dx=nxn-1d dx(constant)=0f(x)=2+1x

Q: xe* *+ 1)³ dx

A:

Q: 37. So x + 3 √x+1 dx.

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Q: True or false: O True ● False d dx 1 [2 + ²] = 1 x²

A: The objective of the question is to determine whether the derivative of the function 1/(2 + x^2)…

Q: (1 − x++zx) (ε − xs) =á (v) - for dx dy Find

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: dy Find d.x given y = (Vx+x)(104x¬1+2x¬5 + 46). Do NOT 1. simplify.

A:

Q: needed. That way you'll have better chance x2 + + 2x +3 dx x3 +3x2 + 9x a. #13. 26+

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: If fºrex f(x) dx = 12, what is the value of A) 12 B) 0 C) 6 √ [ ƒ(6-x) dx? D) -6

A: If  ∫06fx dx=12, then to determine the value of ∫06f6-x dx.

Q: x + 4 1. Evaluate dx. Vr2 + 8.x

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Q: 1.557 B) In (x) dx + | (2 – x) dx 1.557

A: Given : The equations of the curves are y = ln (x) and y = 2 - x and about x - axis.

Q: dy 3. 9+y? メーNE _ xp

A:

Q: Evaluate. (4x + 5x²) dx -2x dx 8. 9. dx 10. -5 for x 2

A: To evaluate: ∫-12(4x+5x2)dx Solution: We know, ∫xn=xn+1n+1+C    ..(1) Here, ∫-12(4x+5x2)dx On…

Q: dx (x² + y²)/2

A: Given: To Find: To evaluate the given definite integral.

Q: -3 L 2. x+x² (x - 1)(x² + 1) dr

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Q: |1 FIND : dx 2Vx +3

A: Given,

Q: Find the value of b so that (2x – 1)dx = 10 - 1 3 O 2

A: We have to find out b

Q: .7 Evaluate ſ x³tan-1x dx.

A: The integral is given , ∫x3tan-1x dx. Solve the integral by integration by parts, ∫x3tan-1x…

Q: if : 1 1 + + 1+x² ' 1+x° 1 t...+Tx" 1 f(x)=1 1+x a+1 a+1 and / f(x)dx=2 then find : / f()dx = ?

A: using the given value of the function and definite integral we need to evaluate the unknown value of…

Q: - 5 Fill out the blank: x (x – 3)² dx = 3(x – 3)3 dx 2 14 -5 (©) 10 D -8

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Q: dy Find for the given functions. dx3 a) y = /2x + 3 b) y = 2.x – 1

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Q: /16- y? (x² + y?) dx dy 0 Jo

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Q: [x-x d: X-X 4.

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Q: 15. Iv X V9 – x2 - dx

A: We want to integrate the given function.

Q: 3 24) [(1 -x² )² dx

A: To evaluate the given integrals

Q: f Srwdx= 10 and [ f(4 – x)dx=? f(x)dx=3, then

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Q: Find the following. dx 2 dx =6x V2x + C

A: