-4x+2 Integrate f6 dx with respect to x using the substitution method. (-2x2+2a-2) COMPLETE THIS IN 4 STEPS.

Q: 2 Find 2(x² + 3x - 1) xp- b. (x+ IX2x - 1)ar – 1)' dx x(x + 1) + 2 – 2x – x² a

A: We Use partial Fraction to separate the denominator and then integrate with respect to x.

Q: 17x-6 - dx x² -x² - 6x 2.

A:

Q: •2 1 -dx- J-3 (x + 7)(x² + 16)

A: Given integral is Apply partial fractions to break the denominator

Q: [ (x²ex - 12/²7/1₁) dx x + 1,

A:

Q: dx 3. 4

A: We have to find the value of the integration                            ∫xy2+x2432 dx Since we have…

Q: (3x-2) dx f x²+ 2x + 15

A:

Q: III. Evaluate 4 - x -dx. V16 – x2

A:

Q: (3x -x2 dx 3.

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

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: xsin-1x dx V1-x2

A: We know, ∫udv=uv-∫u'vdv ddxsin-1x=11-x2

Q: Integrate (1/ (3x + 4)) with respect to x and evaluate the result from x = 0 and x = 2.

A:

Q: (x²-2x+11)dx (x²+3x-4) .2. r2.

A:

Q: Evaluate the integral (4x -7/13 – 5x13)dx. „7/13 (4x -7/13 - 5x13)dx help (formulas) -

A: We first distribute the integration

Q: Using Reciprocal Substitution dx For S xVx²+2x-1

A: This is question related to reciprocal substitution in integration.Solution is given below.

Q: Solve (D2+2D+2)y=e-x+sin 2x

A:

Q: 2x - 4x – 8 -.dx Find -3)(x* +4)

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: x² – 16 - dx = Mx + 2)3

A:

Q: 1 dx %3D x-3V2x-4+2

A:

Q: 13) Find / VI- 2x dx by the method of substitution.

A: Substitute   1-2x = t

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

A: We can find the integration as below

Q: II. Perform the integration. 2х + 1 dx x2 + 8x + 25 2.

A:

Q: -2x +5 Evaluate 10-4x -2y dy dx 3x 25 3

A: The given integral is: ∫01∫3x-2x+5(10-4x-2y)dy dx

Q: dx 2. √ 9x² + x³² 12.

A:

Q: Evaluate by any applicable method. 1/2 5-x So dx 4x2+1

A:

Q: V2/2 -3x2 dx 1 – x²

A:

Q: -3 -dx J2 (x²–1)² 3.

A: The given integral,        ∫23xx2-12dx

Q: 4-x2 dx -2

A: The given integral is

Q: 2x ²-11)dx x3+3x²-4

A: To evaluate the integral.

Q: (2x + Зу — 5)dx + (3x — у — 2)dy 3D0

A: Given the differential equation(2x+3y−5)dx+(3x−y−2)dy=0

Q: 2-5x-x2 dx (x2-x-6)(x+2)

A: This question is based on indefinite integral.

Q: 3-4x-10 x²-x-6 dx.

A: Given integral ∫x3-4x-10x2-x-6dx. The objective is to evaluate the integral.

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: 4) f(x) = sec-(1+x²) %3D

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Integrate the function. 2 + 16 dx 2x2

A:

Q: Integrate the function. 9-x dx, x< 3 x4 27x3 OA. (9 -x²) 3/2 (9 - x²) 3/2 O B. x3 + C (9-x²) 3/2 +C…

A: Recall: ∫ax+bndx=an+1ax+bn+1

Q: Evaluate the Cauchy principal value of 2x² - 1 fo dx. x4 + 5x² + 4

A:

Q: 3- f xvx2 +1 dx

A: Integration

Q: 1-3x dx Jo J2x-3x² 4. 2х— Зх?

A: Given problem is

Q: x – 1 -dx マ- 4x -5"*

A: The solution of the problem is given the next step.

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

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

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: 2x° dx x2-4

A: ∫2x3x2-4dxSubstitute u=x2-4→dudx=2x→dx=12xdu=12∫u+4udu=4∫1udu+∫1du

Q: x2 dx. x +1 Find

A: Let I=∫x2x+1dxPut x+1=udx=duI=∫(u-1)2uduI=∫u2-2u+1uduI=∫(u2u+-2uu+1u)duI=∫ u32du-∫…

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

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

Q: Evaluate. (Use C for the constant of integration.) 2x2 + 8x + 10 dx (x2 + 1)(x2 + 9)

A: We need to find ∫2x2+8x+10x2+1x2+9dx. First, we will find the partial fraction of 2x2+8x+10x2+1x2+9.…

Q: X-1 dx -x² - 4x- 2

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

Q: 3. (a) Determine 3 4 dx VI - x², + x2 (b) Determine 3 + V1- x2 4 dx 1+ x2

A:

Q: Integrate (1 / (3x + 4)) with respect to x and evaluate the result from x = 0 and x = 2.

A: To evaluate: ∫0213x+4dx We know that ∫1ax+bdx = lnax+ba+C

Q: 19-x 2 Find -dx 2 x² 5.

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.