х-6 Use the Quotient Rule to evaluate and simplify dx 5x-4 d X-6 dx 5x-4

Q: ax – 2ax – 2ax Evaluate dx x2+1

A: Given Integration  Integration (ax^5-2ax^3-2ax)/(x^2+1) dx We will evaluate as shown below

Q: (21 + V3)/3 11 dx Evaluate 50 + x - 14x

A: Explanation of the answer is as follows

Q: a) Evaluate: -6x2 + 2x dx . b) Evaluate: - + dx.

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Q: 1 |(12x5 - 11)dx -1

A: ∫-1112x5-11 dx

Q: 2х — 3 - dx (х-1)(х-2)(х+ 3)

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Q: 11 2x° dx. x-3 Evaluate 6.

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Q: Calculate f

A: The integration of the expression is given by . According to the definition of the definite…

Q: tan-lx dx 3+ 3x2 1. Evaluate

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Q: x4 +1 x³+9x -dx

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Q: | 4x' /2x* – 2x - 7 dx. Evaluate

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Q: Evaluate the integral

A: int (3x2-25x+43)dx/((2x+1)(x-2)2) =int (3x2-12x+12-13x+31)dx/((2x+1)(x-2)2)  =int…

Q: 26x°- 52x+3 dx. Evaluate x2 - 2x

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Q: | 4.0°e-9* 4x³e-9a* dx

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Q: 3 (3х - 5)dx (3x2 - 10х + 12

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Q: 3 (5æ° + 2x") dx - 4 Find

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Q: X-12 dx (x- 5)3

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Q: 3х -1 dx /3x²-2x

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Q: x³ +2x .3 dx x2+1

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Q: Vos-x 4 64 – X -dx

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Q: 4x2 -6 dx. x - 4x2 Evaluate

A: Consider the given integration as ∫4x2-6x3-4x2dx

Q: x² - x + 12 dx x3 + 2x

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Q: e3 3 -dx Find

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Q: x2 + 15x - 10 dx = x3 - 4x2 - 5x dx X-5 x+1 Determine the value for A, B, and C.

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Q: a) Jo (3x + 1)5 dx dx b) J3 3 -8

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Q: Evaluate. x2 - 9 10) dx X - 3 2

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Q: Reciprocal Substitution – x³ )/3 dx

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Q: r(3 -5x) 3. dx (3x 1)(-1)² 2.

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Q: 2x³+1 Evaluate / 7+x-6 dx

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Q: 2х-3 dx. (b) Evaluate 3x²-15x+1

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: /6- х2 dx

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Q: 6. - 2х + 3) dx

A: According to Bartleby's guidelines we can solve only one question at a time. Apologise for the…

Q: (2x²– 4x + 4) dx Evaluate: -1

A: This is a basic definite integration problem

Q: 2х-3 dx (х-3)2

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Q: SR-2 2 dx 1) Evaluate

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Q: frese f'(-5x + 4) dx

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Q: 4. (*x3-8| - (x3+8) dx

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Q: x(х-2) dx (x-1)3 Evaluate

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Q: 6. f 2x³sin (3x) dx

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Q: ii) ∫7x-25/(x-3)(x-4) dx

A: Given,          ∫7x-25x-3x-4dx

Q: .5 X° +2x -Xp- X +1 -3 X° + 2x -dx%(Simplify your answer.) %3D X +1 3.

A: Consider the integral

Q: 3. f(e-²x - 1) dx

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Q: 16 16 + 4x - x2 4 dx

A: The answer is found in step-2.

Q: 2х -1 -dx. x +3 Evaluate

A: Let,           I=∫2x-1x+3dx

Q: 10. √x(x² + 3x-8)dx A. -4 B. -404 105 D. -28 105

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Q: (3x² + 5x-2) dx

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Q: Examples ) ス+3= Lncx),メ70 器-5 dy 3x+1

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Q: 18 (x² +9) (x+3) -dx

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Q: 4x2 - 3х + 2 dx. Evaluate 4x - 4х +3

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Q: (x² - x') 6. Reciprocal Substitution -dx 3

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Q: 6х- 5 dx Vx2 - 12x +52

A: The fundamental use of integration is as a continuous version of summing. The extra C, is called the…

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

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.