d Use the table below to find [1.3g(x) dx x= 1 1 3 4 5 f'(x) g'(x) 1 3 2 4 3 2 5 1 4 d [1.3g(x)] dx | (Type an integer or a decimal.) %D x = 1

Q: 1. dx nx e

A: Let I=∫1x(ln x)2dx

Q: 2- |In (=) dx.

A: ∫01ln 1x     dx

Q: 2- Find O for: y= In (x+5x) dx

A: Tpoic- Differentiation

Q: f(x)dx = f(x)dx =7, then | f(x)dx = If 4 and

A: If ∫23f(x)dx=4 and ∫35f(x)dx=7 then ∫52f(x)dx=-11

Q: d Find -(3 ln(x)) dx

A: To find: ddx3lnx

Q: 2. Let y = x? 4x2 . LA. Find "dy". B. Find the value of "dy" when x = 4 and dæ = 0.01.

A:

Q: If a and b are positive numbers, show that r*(1 – x)* dx = [ x*(1 – x)* dx %3D

A: Recall the following property of the definite integral:

Q: Fnd -13 2/3 dx

A:

Q: dx 2(x - 2)²

A: To evaluate,∫1x2x-22dx

Q: f(x) dx = 16 and f(x) dx = 3.3, find f(x) dr. If 1 7

A: Here the given Now use the property of definite integral as

Q: nx dx = ?

A:

Q: Find √√3 x² +3 x² +1 dx

A:

Q: If y = 9csc²-x 3 O -18 csc2> 3 -6 csc²}x• 3

A: Given: y=9csc213x

Q: B1. Verify fy = fx for the function f(x,y) = ln(2x- 3y). %3D xy

A:

Q: 2. Find x Inx dx

A: 2) The given integral is ∫x lnxdx

Q: Let [ 13.5 f(x) dx = 8, 45 f (a) f(x) dx = 3 J4.5 9 (b) (5f(x) - 2) dx = J4. f(x) dx = 3, and Enter…

A: Given : ∫013.5 f(x) dx=8,∫04.5 f(x) dx=3 and ∫913.5 f(x) dx=2. To find: (a) ∫4.59 f(x) dx= (b) ∫4.59…

Q: dy Find if dx )*. 3 y = (2x° + x %3D

A: y=2x3+x4

Q: Differentiate the following function. f(x) = - 4 e 3x *(-4 e 3x) = D dx

A: Differentiate the following function

Q: Find ∫ dx/√(e2x − 1)

A:

Q: Differentiate. 12 f(x) = 17 f'(x) =|

A:

Q: y = x ln x ||

A:

Q: Evaluate f(x³ -x + 1) dx a. 0.250 b. 0.500 c. 0.625 d. 0.750 e. NONE OF THE ABOVE

A:

Q: Use the table below to find y[5x + 4g(x)] dx x= 2 1 3. 4 f'(x) g'(x) 3 4 4 1 3. d. dx 5x+ 4g(x)]|…

A: We have ddx5x+4gx= 5ddxx+4dgxdx=5+4g'(x)

Q: find dy/dx for the given value of x.

A: Finding dy/dx

Q: 5 If ["f(x) dx = 8.1 and ["f(x) dx = 3.7, find rox) f(x) dx.

A:

Q: d Find -(4 In(x)) dx

A:

Q: TC |2sin (x) dx = %3D O 2 O 8 O none 1/323 03 4/3

A: To evaluate the given definite integral

Q: "S If f(x) nd f(x) dx = 3.6, find [ f(x) dx = 7.1 and dx.

A: Integral

Q: 25 In (x) X dx

A: