10 f(x) dx J5 10 f(x) dx 2 If 15 and 4, find the following. 5 f(x) dx 2 LO

Q: 4 8 f(2x)dx if / Find f(x)dx = 5. = 5. Enter the exact answer. | f(2x)dx:

A: Calculation of Required Values.

Q: | f(2) dx = 3 and | f(x) dx = 4 what is the value of If -2 |5f(x) dr?

A:

Q: (x+1 0SxS2 f(x) = { Then what is the result of| ($2) dz 5

A:

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

A:

Q: 27. 12f(r) – g(x)] dx = 28. Ư(x) – g(3)]dx =, 29. (4g(x) – 3f(x)] dx = 30. f) + 39(x)] dx =

A:

Q: コ-6 dx 1十XS

A: Given Data: Subdivisions: n=6 Integrand: ∫0311+x5dx Function: fx=11+x5 Lower limit: a=0 Upper limit:…

Q: 6. (a)f dx x(x +3)2

A: To evaluate the given integral

Q: S x²-x +2 -X X³ + 4x -dx

A:

Q: xf (x² )dx if f(x)dx = 7. Find Enter the exact answer. f (x² )dx =

A:

Q: e4z+1 dx e2r – 1 17.

A:

Q: dx 1- S 4+x2

A:

Q: 8 Suppose [g(x)dx =5 , and [g(x)dx =-3 , find the value of 2g(x)dx 8

A: We have to find the value of integration.

Q: •5 | f(x) dx If 16 and f(x) dx = 3.1, find f(x) dx.

A:

Q: S(1 + nx² – x-1) dx

A:

Q: 2 + 3x + x) dx . 3x² + x) t 3

A:

Q: 5 • 35 f(x)dx = 3. Find f(7x)dx if 7 Enter the exact answer. | f(7x)dx

A: Given query is to find the value of the integral.

Q: 3 y = 2x' + 5x from the point (-2,-26) to the point (4,148), you'd have to compute f(x)dx a

A: Given function is                                                        y=2x3+5x we have to find…

Q: 2 S (x² – 4| – |æ – 1)) dæ - 4| – |x – 1|) dx -2

A: Definite integration

Q: 4- x²+4 dx ht. 23

A: To evaluate∫x3x2+4dx We can find the integral by substitution method.

Q: 1 dx 3 (1+ 2x-x²)7

A: We have to evaluate the integral by using trigonometric substitution.…

Q: 9 Find for y = (9x - 7) dx dx

A: The function is given by y = 9x-7-79 To evaluate : dydx

Q: 5 f(x) dx = | f(x) dx = 3.8, find | f(x) dx. If 12 and

A: I=∫15fxdx=12I1=∫45fxdx=3.8

Q: 2. Given that x2 + x-5 and y = when x = 2, find the value of y when x = %3D dx

A: Given: dydx=x2+x-5 and y=53 when x=2. Now, given equation dydx=x2+x-5 can be written as:…

Q: • S (++:) (- 1 x2 – 1 dx - x2

A:

Q: (3x4-43)dxc+(xy²-2x?4)dy:

A: 3xy2-y3dx+xy2-2x2ydy=0 fx,y=Mdx+Ndy ∂M∂y=∂N∂x For M=3xy2-y3∂M∂y=6xy-y2 For N=xy2-2x2y∂M∂y=y2-4xy…

Q: (iv) S: (1-x²)z dx x8

A: Given:

Q: X -2 5. S dx х2 (х — 1)

A:

Q: PO 5.5. -X².11+ y²) xe dx dy

A:

Q: 10. f(3x - 1)(x - 1) dx

A: The given integral is:∫-113x-1x-1dx

Q: b. Find S 5x*(x5 – 1)dx using a suitable substitution.

A:

Q: by3 (3b² – x²)(1 – x5V3)/3b² – x² dx - -

A:

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: (a) f(x) dx = Enter an exact number only. 4 (b) |(4f(x) + 10x)dx = Enter an exact number only. 4

A:

Q: 6) x*dx_ .2 S2x-x

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: 16 / #(x²)dx if f(x)dx = 7. Find Enter the exact answer. xf (x² )dx = -4

A:

Q: 3x+5 Find S dx (Using substitution method). √3x-7

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

Q: 8) ff(x)dx; f(x) = 1 + 2cosx, ((²7) x + 1, sxs" TC < x≤ π

A:

Q: [ €³ºf¹ (x) dx = e²f(x) − [ eª f(x) - dx

A:

Q: 3x2 a) -S 1 3 x3+7 b) S tanx dx

A: Given:

Q: 2* Q3. Evaluate +1_5*-1 dx 10*

A: Given ∫2x+1-5x-110xdx evaluate the given integral

Q: (5) f (3x² + 2x)e5+3x dx (6) ſ dx x(3 + ln x)

A:

Q: 3. dx V3-x

A:

Q: x+3 k) S- dx x2+6x-11

A:

Q: (х2-2х+11)dx (x2+3х-4) .2.

A:

Q: (x5—6х4-2х2-Зx+4)dx Q2: х2+2

A: This question is based on simple integration

Q: 20. Find f2x/(5x-3)dx

A:

Q: dy т3 + 6х + 8 Find if y dx x2 4 dy 3x2 + 6 x4 18x? 16х — 24 - | dx 2x (x² – 4)? - || ||

A: