If the units for x are feet and the units for a(x)are pounds per foot, what are the units for da/dx? What units does the picture provided have?

Q: 1 dx - X+ 4x - 3

A: Given: ∫1-x2+4x-3dx

Q: 1. dx (x - 2)3 EXOX

A:

Q: 1 | (2x - 4) dx 38.

A: The equation of integral function is ∫012x2-4dx.

Q: 3. What is Se3x dx?

A:

Q: S; 2 dx x(3(Inx)"+\지lnz-15)호

A: We use substitution method to solve this integration

Q: Set up two different ways to find the shaded area - one way oriented horizontally, with a “dx”, the…

A: Sol:By considering small differential area, dy,f(x) = 3⋅ xg(x) = 32 ⋅ x-1x1 = f-1(y) = y23 andx2 =…

Q: 1. S- VE dx 6 Vĩ

A: Indefinite Integration

Q: 1 dx x[9+(ln 3x)" 8.

A: use simple integration method.

Q: 1 Question #9) dx x2 + 2x + 10 1 Question #10) x3 – x² – x – 15

A: 9. Given integral isI=∫-∞∞1x2+2x+10dxThe integral is evalauted using Cauchy Residue Theory as shown…

Q: 27 (" Vsin 2x dx = ?

A: Let  I = ∫02πsin22xdx After applying exponent rule a2=a, we can write  I=∫02πsin2xdx Now we need to…

Q: 1/x dx 3?

A:

Q: 2 S(4x3 + )dx x+1

A:

Q: 7. S(e* – x*)dx

A: Given integral,                          ∫ex-xedx

Q: (4x+2x)e dx

A:

Q: 13. [" e*dx

A: Use integration rules

Q: ,3 In x dx

A: Solution

Q: 25. х* dx dy

A:

Q: Find the indicated derivative. x2 dz for z = x? + dx 1- x - 5x2 2x – x2 — х dz 2x + (1-x – 5x)2 dx…

A: As per our policy, I can not answer multiple questions and a graded one. Since you have asked for…

Q: Evaluate csch- x dx , 0 < x < 1

A: To find the integration of following csch-1x

Q: Evaluate: √ye dx By using Gamma function. is

A: I have given the answer in the next step. Hope you understand that

Q: | (3 + xx) dx

A:

Q: 2 S (a+ dx x - х — а

A:

Q: 3 dx x(ln(x))³

A:

Q: If x is measured in meters and f(x) is measured in newtons,what are the units for  ∫0100 f(x) dx ?

A:

Q: 1 (a) dx + 25x2 4 -

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: 19. (E x' 3) dx

A: #19 Differentiation w.r.t. x

Q: Find the given derivative 6 Dx 7x 1 Dx 7x 5 LN +

A:

Q: S cot-1 2x dx

A:

Q: Next, simplify. - 3t dt = dx

A:

Q: 2x 4x e dx

A:

Q: Ln (+x) dx

A: Given integral is ∫ln (x2+x) dx=I (say) We will do this by method of by parts.

Q: Find the indicated derivative. d 14x+22 dx X d 14x+22 dx X

A:

Q: 4. cscó 3x dx 5. ſ cots x dx

A:

Q: The numerical value of S X -3 9-x² dx will be equal to *******

A:

Q: d) Use logarithmic differentiation x'e sin? x y = Vsin:

A:

Q: Find the indicated derivative. d 16x + 18 dx d 16x + 18 dx

A: Distribute the x in the denominator and simplify.

Q: 3) Se-*.cosh(2x) dx

A: cosine hyperbolic function we can write in terms of exponential function Coshx= [e^(x)+ e^(-x)]/2

Q: S(csc х cot x — сoS x) dx

A: Given :               Int ( csc x cot x - cos x ) dx

Q: 4 dx is equal to: xv16 - x2

A: we have to find the following integral

Q: | (x³ +3x? -x+3) dx

A:

Q: 3. S dx

A: We have to find the indefinite integral

Q: 1. S Vx4 – 10x3 + 25x² dx -

A: Solution: As per our guideline we are supposed to answer only first question . Kindly repost other…

Q: Find + 3) (т - 4)dx

A: The given integral can be solved by simplifying the equation

Q: (3) x°lnx dx

A:

Q: Evaluate xe-*dx

A: By using integration formula, we calculate the given integral.

Q: Find (x + 2)e3* dx

A:

Q: Va(ln(x))² dx

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: 1 dx 3. is equal to

A: The given integral:∫1x23dxWe need to evaluate the integral.

Q: 5.12 7 ln 3x dx X

A: Is multiple questions are posted we are allowed to solve only 1st question...so please upload again…

Q: Evaluate: S, xe-* dx X

A: