5 [f(x) + 7g(x)]dx if 5 | fx)dx = 3 and / g(x)dx = -8. -3 -3 5 (f(x) + 7g(x)]dx = -3

Q: 2X+3-=X 3X%=DX メー3

A: We will solve the given equation to find the value of x that satisfies the equation. First of all we…

Q: Differentiate

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: –2x x- -dx x2+e-2r A (x-e-2r) x²+e-2x xp- B -2 (х—е -2) x²+e-2x xp- e -2r dx x²+e-2r x²+e -2x D E)…

A:

Q: (3x-2) dx f x²+ 2x + 15

A:

Q: f(x)dx = 2, 5 and 8 f(x)dx = -5, then, 8 f(x)dx = -3

A:

Q: x3-27 dx 2. ズ-3

A:

Q: 1. f4x-³ dx -3

A: Find the integral

Q: 2x - 2x2-3 dx - Find 4 x* + x²

A: To evaluate: ∫2x3−2x2−3x4+x2dx Let, I=∫2x3−2x2−3x4+x2dx ⇒I=∫2x3−2x2−3x2x2+1dx

Q: (x²-2x+11)dx (x²+3x-4) .2. r2.

A:

Q: S2x3-4 x²-x-3 dx х2-2х-3

A: See the details solution in below

Q: 3 5x3 4 6 /x ) dx Find - x4

A:

Q: x²-3x - 7 √ - (x² + x + 2)(2x − 1) dx

A: Given: I=∫x2-3x-7x2+x+22x-1dx   As we know that; ∫1ax+bdx=1alnax+b+C

Q: 2 + x², -2 < x < 0 f(x)dx; f(x) TX + 2, 0<x<4 21 -2

A:

Q: x²-3x - 7 2 (x² + x + 2)(2x - 1) dx

A: Simplifying the given integrand: x2-3x-7(x2+x+2)(2x-1)=x2-3x-72(x2+x+2)x-12

Q: 2 d 3)[(3x2 – 4x +7)(5x³ – 9x)®] dx - -

A: Here we apply u.v rule of multiplication in derivative

Q: V2/2 -3x2 dx 1 – x²

A:

Q: S x²-x +2 -X X³ + 4x -dx

A:

Q: 4. f(x) = 4x cosh 3x x² ; f'(2.7)

A:

Q: 3x2-9x-34 1. S- dx x2-2x-24

A:

Q: x* - 5x² + 2 -dx X - 3

A: Explanation: Given that,  ∫x4-5x2+2x-3dx

Q: 4x³ – 3x +5 13x +5) x²- 2x åx, then f(0) =. If dx = x² – 2x A) 5 8

A: Given that, ∫4x3-3x+5x2-2xdx=∫fx+13x+5x2-2xdx Then evaluate f0

Q: x4 – 4x3 + 8x² – 13x + 13 dx - - (x – 1)(x2 + 4)

A:

Q: 2. Derivative of f(x) = - 9x + 4 is: a) 9 b) - 9 c) 4 d) 0

A: Derivative of constant is 0

Q: 2x ²-11)dx x3+3x²-4

A: To evaluate the integral.

Q: √ 1 x²√2x-x² dx = x+¹√ √√2x-x² + c 3x²

A:

Q: f3xcos(4-x*)-8xV4=x² dx s(4-x²)-8x/4-x² dx —:

A: Let us solve the integral using substitution method in the next steps.

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: (4 - e3 dx

A: We have to calculate the given indefinite integral

Q: (2x2-x+6)dx (х2—х-2))

A:

Q: d -(f(x² + 3x)) dx

A: Derivative

Q: (5x-3x²+7x-3 dx (x²+1)²

A: Given,          ∫5x3-3x2+7x-3x2+12dx

Q: f(x-1) e-2x+x² dx = O 1 -2x+x² e 2 2e-2+2x+C 2e-²x+x² + C e-2x+x² + C + C

A:

Q: Ò(Éx-13x² +15)dx 6. 7. Ò ()dx 8. Ò x²(3/x+16x-2)dx -x²+1 dx x*. 9. Ò 10. Ò (3x– 2)° dx

A: Answer 6)       I= ∫23x -13x2+15 dx        = ∫23x dx  - ∫ 13x2 dx + ∫15 dx        = 23∫x dx  -13 ∫…

Q: (-x³ + 3x² + 1) dx 2) (x* + x³ – 4x² + 6) dx -2 3) 12x + 13) dɔ 4) -x³ + 3x² – 2) dx

A: Follow the procedure given below.

Q: 4x2-5х+6, 3. S(*-*+*)d *“)dx x2

A: We have two types of integrals in general, namely definite and indefinite integrals . The definite…

Q: S (2 + x)dx √4-2x-x²

A: We can solve the integration as below.

Q: 3. -2x-4 dx x-3 6x 4. (x2-7):/

A: (3).   The given integral is: ∫x3-2x2-4x-3dx

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

A: Using property of definite integration.

Q: 4x3-3x+5 If 13x+5 dx , then f (0) = x²-2x x²-2x,

A: Given : ∫4x3-3x+5x2-2xdx=∫fx+13x+5x2-2xdx Objective is to find the fx and then value of fx at x=0

Q: ( x" - 4x* + X +1 dx X² -4 10.

A: ∫x4-4x2+x+1x2-4dx=∫x2x2-4+x+1x2-4dx=∫x2x2-4x2-4+x+1x2-4dx=∫x2dx+∫x+1x2-4 dx=x33+∫x+1x+2x-2 dx

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

A:

Q: -2x X-e -2x x+e * 2(x-e-2*) A -2x xp- x²+e¯ -2(x-e-2*) B x²+e =² -2x -2x e dx -2x x²+e-2r x²+e=2« D…

A:

Q: 2x + 5 4. -dx x2 + 16

A: Given: Let I=∫2x+5x2+16 dx To Find: To evaluate the given integral.

Q: (x3-2x2+1)dx (x2-2x+5)2

A:

Q: 25-9x2 -dx- x2

A:

Q: X-1 dx -x² - 4x- 2

A: Given, ∫x-1-x2-4x-2dx  We have to integrate it

Q: (-4x-12) dx (x+10) (x-4)- For F()- 1. What is F(3)? %3D

A: Option A

Q: egral f x²+x+2 dx (x-1)(x²+5)

A:

Q: (х2-2х+11)dx (x2+3х-4) .2.

A: