10x2 + 14x+13 dx. J (2x+1)(2x² +4x+ 10)

Q: (5x + 8)° H K J (7x – 16)° -

A: From the given rectangle GHJI

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: (a) / (2.x4 + Vx3 + 4e* + + 8) dx - (b) / = x3 + 3x – 4 dx - x2 (c) (x + 4)(x³ – 9) dx .3 -

A:

Q: 20x3 dx 2. JT2+1 Vx2+1

A: Explanation of the answer is as follows

Q: (3x-2) dx f x²+ 2x + 15

A:

Q: 9. Evaluate -2x +9x-1 dx (x² – 2x +1)(x +2) -

A: Solve the problem using partial fractions

Q: evE -dr 3) Evaluate (6x² + 2æ – 3 4) Evaluate -dx p2(r + 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: 3. 9x -dx (x² +7)

A:

Q: 5. (3x-17) dx / (x² - 6x + 10) 11

A: As per our guide lines we are supposed to answer only one question. Kindly repost other questions as…

Q: ди + 2и ду %3D dx2

A: Given PDE is

Q: 25+1 c) r³-3x²-10x dx

A:

Q: Зx3 +6x2+17х-5 dx х2+2х+5

A:

Q: -3/2 1/2V2 dx 2 dx 5. 6. V9 - x VI - 4x

A: Integration of the functions and substitution of the limits helps to find the solution of the…

Q: (2x³-9x²+2) dx from x = 6 to x = 11

A: Given: ∫2x3-9x2+2dx   from x=6 to x=11

Q: dx J-2 (5-4x-x²)/2

A:

Q: S- 5e2*dx 9e 4x - 6e2+1

A:

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: 3/2 (-2x + 4) dx J1/2 | 16.

A: Note: We are authorized to answer one question at a time, since you have not mentioned which…

Q: 2x ²-11)dx x3+3x²-4

A: To evaluate the integral.

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: f(x)=10/17sqrt(6x^2+2x+6)= 10(6x^2+2x+6)^1/17, then df/dx =

A: f(x)=106x2+2x+6117

Q: - 6x² +15x² ,7x+6 Evaluate:[ dx. V2x² ,2x +1

A:

Q: 2. x°ー×- 8x ー1 dx x²-3X -4 2

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

Q: (2x2-x+6)dx (х2—х-2))

A:

Q: 2dx 10. S 2x+3x+1 11. *-2x2-4)dx 3 x-2x2

A: 10.  Let I=∫01 2 dx2x2+3x+1 =∫01 2 dx2x2+2x+x+1=∫01 2 dx2x(x+1)+1(x+1)=2∫01 dx(x+1)(2x+1) Using…

Q: 6x² – 2x +5 dx? What is 2x + 1

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: (-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: 9. dx J1 (3x²+1)3

A:

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

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

Q: (3z² + 1) dx (2 + 2x + 1)²

A:

Q: 6. S (2x+3) dx (x2+3x-6)9

A:

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: 2. f (x²-16) ²/2 dx x3

A:

Q: 5. j(4x²-5x+4)*(8x-5)dx 6X dx x ²-5

A:

Q: 2Rx-3 + (x² – 3)] dx а. - (Rx2-3x+1)5

A:

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

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

Q: 3x + 1 dx 28. V4 – x2 -

A: Formula used : ∫dx1-x2=arcsin(x)+c

Q: 4x + 1 dx Jx3 + 3x2 - 6х -36 2.

A:

Q: xª – 5x³ + 6x² 5a3 + 6x2 — 18 dx x³ – 3x2 -

A: The given integral is: ∫x4-5x3+6x2-18x3-3x2dx Let, I=∫x4-5x3+6x2-18x3-3x2dx

Q: -5x dx А. 3 V2x2 – 1

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: 2. 16-x dx 2.

A:

Q: (x5—6х4-2х2-Зx+4)dx Q2: х2+2

A: This question is based on simple integration

Q: 2) J (2x2 - 6x) dx B) - x3 - 3x2 +C + C D)를3-3x2+C + 3x + C

A: Here is the problem of integration  ∫( 2x² - 6x)dx  2x³/3 - 6x²/2 + C  2x³/3 - 3x² + C  So D is…

Transformation of Graphs

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Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.