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

Q: d S 1+ 2x3 Find dx ( 4x5 – 1

A: Since you have asked multiple questions in a single request, we would be answering only the first…

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: d Find (5 In(x)) dx

A: Given query is to find the derivative of the expression.

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: 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.

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Q: Q.2 Evaluate : P;(x)dx=

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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: d. Evaluate dr ((5x² + 10)e) at r = 2.

A: We will differentiate the given expression using the product rule and then put X equal to 2

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: 3x + 2 10. Find the principal value of dx. (a² +9)(x- 4)x

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Q: dy 3. 9+y? メーNE _ xp

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Q: dx 3) /1+ Va

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

Q: dx (x² + y²)/2

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

Q: B. Evaluate the following .5 |x² – x - 6| dx -5 1.

A: The question is determine the question is evaluate the definite integral. Note -  As per our…

Q: -3 L 2. x+x² (x - 1)(x² + 1) dr

A:

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: 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

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Q: d 2 7. (In x)? = In x dx

A: Consider the following expression: ddxlnx2=2×lnx2-1×ddxlnx=2lnx×1x=2xlnx