¡ Is(x)dx=A/3x=5 +C, for constants . Suppose f (x) = . If Зх — 5 A and C, what is the value of A? Write the answer in its exact form as an integer or a fraction in lowest terms.

Q: 8. Which equation has exactly A 7x =7 B) 7x 7a x +1 = x + 1 Dx+1= x + 2

A: A) 7x = 7 implies x = 1 Exactly one solution B) 7x = 7x  This is true for each x Implies infinitely…

Q: If | f{x)dx=2a - 5b, then [f(x) – 2]dx=?

A: The solution is , C) 4a-7b ∫ab[f(x)-2] dx=4a-7b

Q: S² (4-x²)³2x² dx

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

Q: alculate d2y/dx2 when y=3x.5-6x

A:

Q: Evaluate: ³²₁₂[z³(x + y)³] dz dy dx

A: Given, ∫-43∫-12∫01z3x+y3dzdydx

Q: Solve the (x²+3X +Z) dx 4.

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Q: 18. V1+x dx 1-X

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Q: 3 how that S 5x(1 – x²)² dx = 1

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Q: If Edx = ( + 9(2))dx, then 4 + f g(2) dx is equal

A: Given : ∫x2-1x3+xdx=∫Ax+g(x)dxthen we have to find the value of A+∫12g(x)dx

Q: Q2/ Evaluate: 16 c2 y dx dy 113+x9

A:

Q: What is ∫3x(x2+2)5 dx? Do not include the constant "+C" in your answer. For example, if you found…

A: Given integral ,    ∫3x x2+25 dx        Let , x2+2=z=3∫ x2+25.dx            ⇒2x dx=dz=3∫z5.dz2…

Q: 3x2 dx (x-1)(x2 + x + 1)

A:

Q: 2x +9 Find- , if y = dx x-5x+1

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Q: 13. S: 5x dx x5-3

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Q: (2x² - x - 1) x³ - x² ; 2 dx

A:

Q: S Vx8 – 6x6 + 9x4 dx is equal to -

A: The equation of integral is ∫x8-6x6+9x4dx.

Q: What is / 3x(x² + 2)° dx? Do not include the constant "+C" in your answer. For example, if you found…

A:

Q: Evaluate: 3 f(-x² + 4x-1)dx 1

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Q: d.) s 2x+3 x243x-1 dx

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Q: If f³ f (x) dx = 6 and ſ ƒ(x)dx = 4, then ſ5 (3 + 2ƒ(x))dx : = 35 10 23 20

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Q: d Evaluate the derivative: * S (3x² – 2x +1) dæ. -4

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Q: x² dx x²-3x+2

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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: -4x2 + 21x + 10 - dx = J C x3 + 10x2 x + 10

A: To find the value of A,B,C can be found by comparing by the decomposed fraction which gives…

Q: S dx 2 x² + 10x +30

A:

Q: d/dx of F(x)=2X-21

A: ddx(2x-21)=?

Q: 8. Find when x = t3 -t and y = 4 –- t². dx'

A: Here, the given functions are: x=t3-t & y=4-t2⇒x'(t)=ddt(t3-t)=ddt(t3)-ddt(t)=3t2-1…

Q: x+3 dx 1-x2

A: This problem can be solved using the concept of integration by substitution.

Q: 2- Show that: -1 xb-1 In x dx b2

A: See the attachment

Q: What is the value of ∫k3 f(x) dx given that ∫313 f(x) dx=−3 and ∫13k f(x) dx=4?

A: Given:The integrated values

Q: d (cosh x) dx Vx2

A:

Q: 3r² + 10x + 7) In (z²+3) dz

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

Q: 1. y 10 – 2x6 dx

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: --2 -3- [ f(2)dx = f(x)dæ = to

A:

Q: Show that: -1 xb-1 In x dx b2 2-

A: we use integration by parts

Q: If | f(x)dx=12, what is the value of f(6- x)dx?

A: Let f(x) be continuous on [a, b] , where a=0 , b=6 Suppose there is a function F(x) such that f(x)…

Q: S (2 + x)dx √4-2x-x²

A: We can solve the integration as below.

Q: (x5+2x² + 1)dx x3 x³ - x

A: We know that integration of xn  is- xn+1/n+1 + C . Here C is integral cosntant.   Here i attached…

Q: If x3+y3=19, find the value of d2y/dx2 at the point (-2,3).   The value of d2y/dx2 at the point…

A: x3+y3=19 Differentiating with respect to x, we get Again differentiating with respect to x, we get

Q: Q1 Evaluate dx 1-х4

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Q: ydy 1+ y²² = dx X when y(2) =3

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Q: S(xeRx-5 +)dx 7 9-Rx

A:

Q: 13. S 5x dx x5-3

A: To integrate ∫5x4x5 - 3dx

Q: Sx³ In(x+4) dx

A: Solution is given below:

Q: Sx V1 – x² dx 3.

A:

Q: -4/3 – 2x – x² dx

A:

Q: If x3 + y3 = 16, find the value of d2y/dx2 at the point (2, 2).

A: Given:

Q: if x3 + y3 =65, find the value of d2y/dx2 at the point (4,1)

A: Given that,    x3+y3=65

Q: Using appropriate substitution 9x2 – 4 dx X is equal to

A:

Q: If | f{x)dx=12, what is the value of f(6 – x)dx?

A: The solution is,  ∫06f(6-x) dx =12

Q: What is the value of ∫3kf(x) dx given that ∫133f(x) dx=−3 and ∫k13f(x) dx=4?

A: Consider the provided question, We have to find  ∫k3f(x)dx.Given, ∫313f(x)dx=-3  and  ∫13kf(x)dx=4

Q: Evaluate | S 3x+5a dx x+3a

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

Q: If S f(x) dx = 12 and f(x) dx = 42, find the value of (2f(x) – 3) dx. 1.

A:

Q: Q2- Evaluate 1- L,(x + 2)*e=x+2)dx.

A: