dx xVx - 1 х —

Q: dx а. 3 x²(9x² – 4) .2 -

A: The integration of the integral is 1/[x2(9x2-4)3/2].

Q: 18tan"x Sec-x dx (िकपन इ)"

A:

Q: 1 dx (2x+1)

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Q: dx 4. 4+ 3Vx

A: To solve∫x4+3xdx

Q: Sx'V16 + x* dx

A: Given,          ∫x316+x2dx

Q: Va dx (1+x)? 2

A:

Q: Solve S 3x? e on 1x by using integration by parts

A: Given ∫3x3e3xdx solve integral using integration by parts

Q: How would I evaluate this indefinite integral?

A: Consider the provided indefinite integral,Simplify the given indefinite integral as follows,

Q: x-1/2 d) -dz e) 5e5x 2x1/2 x-5/2 dx x-3/2 e5x f)

A:

Q: 1 (1 – a2)? dx

A: Evaluate the integral using beta gamma function

Q: 2 t + 13) dx

A:

Q: 4. dx 4x. e+x-7

A: Solved below...

Q: V9x? + 25 -dx x2 1.

A:

Q: 2- Vx dx (x + 1)²

A: Given:             ∫2-xx+12dx Expand: 2-xx+12dx=2x+12-xx+12 Apply the sum rule: ∫fx±gxdx=∫fxdx±∫gxdx…

Q: b) By using appropriate substitution, solve the integral 7x dx. (1–4x)"

A:

Q: How would I find the indefinite integral?

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Q: dx 24 - x2

A:

Q: S. (3-2xtx²) dx

A:

Q: √ x-1 x² + 5x +8 dx

A: Given ∫x-1x2+5x+8dx

Q: Find the indetinite integral S(8x2-12x+7)dx

A: Given integral is By using the result of integration we get

Q: (x²+1)³ .dx

A:

Q: (4+lnx)5

A:

Q: Solve the integral. 1 dx 6. 3x2 + 2x + 1

A: Given     ∫ 13x2+2x+1 dx

Q: 13 1 dx 13 – x

A:

Q: x2 sin 2x dx 2.1

A:

Q: state what method applies and how one applies it, but do not evaluate the integral:

A: You need to use the by parts method with

Q: state what method applies and how one applies it, but do not evaluate the integral:

A:

Q: Suppose we wish to find the integral of x dx/(1+x^4), the first step to solve this is by

A:

Q: 8. yyy +36 dy

A: Given to solve: ∫08yy2+36dxLet u=y2+36at y=8         -> u=82+36=100at y=0          ->…

Q: +00 x* +3 4. dx x2 + 3x +1

A: The given function can be written as x4+3x2+3x+1=-21x-5x2+3x+1+x2-3x+8 Using ∫ f'xfx dx=log fx+c,…

Q: x' +4x + 3 dx x* + 5.x? + 4

A:

Q: 2e-2x – 3e3x 14. - dx e-2x + e3x

A: deaxdx = a.eax ∫1u du = lnu +C

Q: (x – 3)²V2 – x dx

A: Given,          ∫x-322-xdx

Q: 4. (-3x2 + 4x – 5)dx 1

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Q: 3 dx

A:

Q: Calculate the integral and express your answer in simplest form. 10 dx 4+9x2

A: We need to evaluate the following integral  I = ∫104+9x2dx Formula used : ∫1a2+x2dx = 1atan-1xa+C

Q: this integral is solve by trigonometric Substitution with the side of a triangle and i need help

A: Integration: ∫x21+2x3dxLet, 1+2x=z            2dx=dzx=z-12

Q: Solve the integral. π 1. sin x dx

A: Given integral is- I=∫0π3sin3xdx As we know that,…

Q: (2x+11)dx x²+x-6

A:

Q: Suppose we were instead asked to calculate the integral x sin(x) dx. Can you calculate this integral…

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Q: Solve the integral. 1 -dx 6. 3x2 + 2x + 1

A: Here, fx=13x2+2x+1

Q: sec*y dy 6. 8

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Q: x3 – 4x? + 7x – 9 dx 30. x – 5

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Q: q² In(x³ + 1) dx

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Q: 10dx =l 1-cos(2x)

A:

Q: 2 16 dx 16 – x2

A: To find the integration

Q: In -dx x²

A: This is a problem of integration. Based on the general formula of integral by parts we will solve…

Q: |x| dx 1–x²

A:

Q: Evaluate the integrals showing all steps. Give the exact solution. -2x2 + 8x + 8 dx I (m²+ 4)(x –…

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Q: Find the the integrals: 3 - 2s ds

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.