1 3 x' X 12 1 %3D

Q: |3 Sm2万x d x'ln tz de

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Q: 1. dx (x - 2)3 EXOX

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Q: 2. Sキ 1 dx 5+x2

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Q: · x+3 S*** dx x-1

A: To evaluate the integral: ∫x+3x-1dx Solution: Evaluating the integral.…

Q: 5.S dx 2 x+5

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Q: S; 2 dx x(3(Inx)"+\지lnz-15)호

A: We use substitution method to solve this integration

Q: your

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Q: 2 x 4 x Se core* csc*e* dx

A: ∫ex cot2ex csc4ex dx=∫ex cot2ex csc2ex csc2ex dx=∫ex cot2ex 1+cot2ex csc2ex dx      ∵csc2x-cot2x=1…

Q: Solve :(x+1) dy xy = e* (x+1)"+1 dr

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Q: 1 dx (x – 3)(x + 2)

A: we solve this integral by partial fraction Firstly we write its partial fraction expansion and…

Q: 1. S- VE dx 6 Vĩ

A: Indefinite Integration

Q: (4 dx 2 2X Sxー X-I

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Q: tunx dx

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Q: Solve for the general solution (4ху +3у — х) dx +x (x+2у) dy %3D 0

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Q: 10.S 2 x3 x+1 dx

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 3. X+1 (tah dx X-1

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Q: 2. S 2vx(x2 – 1) dx

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Q: 4. S (x + 1) √2x − 1 dx

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Q: de (iv) x(y² – 1) + y(x² + 1) dx

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Q: (2x+1)dx (x+2)^(x–1)“ (x+6)dx S (æ+2)² dx S æ (1+a²)

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Q: 2 S (a+ dx x - х — а

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Q: 1 = S V1- xV3+ x dx %3D

A: Use integration by part

Q: 2/ soluc differentior eauntion X ln x dy + xy dx = lnx dx

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Q: 1. S(x+2)'dx

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Q: 1) S x dx 1+3 x? x² dx 2) S x+2

A: Given that: ∫xdx1+3x2   NOTE: As per our answering guidelines, we can only answer 1 question or 3…

Q: 14) S(3x + 2)v5 – x dx

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Q: Find the most general antiderivative. 1. dx 10 3 .3

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: 2. S 8sin*x dx 3. S 8cos*x dx

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Q: e2x dx Find ex+1

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Q: x4 dx 2 2 (x² +9) ² 3 = 3 WIX 2 Arctan là + 51]+c 4 (x249)

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Q: 4. E+sec"x+1\dx

A: Solving the problem by finding the value of the integral.   NOTE :: As per our Expert guidelines we…

Q: S5e* dx 12 dx 2 x+5 S(2-3e*) dx

A: ∫ 5exdx

Q: eral solution. - 1) dx + (3x – 2y + 3) dy

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Q: dx x√x-1 dx √8+6x-9x² 3. S 4. S

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Q: 1. x-2 dx 2. Vx dx Solution: Solution:

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Q: (2x+1) 5. S (x+2)*(z–1)ª -dx

A: The given integral,∫(2x+1)x+24x-14dx

Q: •3 dx dy (x +4y)3 36.

A: The given integral is ∫01∫231x+4y3dxdy. The order of integration is dxdy. So, first we have to…

Q: -dx Approximate 2+ x to within 10-4 of its actual value. Please show all steps.

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Q: (2x+1) dx 5. S (x+4)*(x-3)6

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Q: » [3] S Te dx > Vex [4] S(x- s(x + !)° dx >

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Q: 10 ii) J1 x(10+lnx)3 dx

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Q: 1. S(9x – 11) dx 2. S(x6 + 20x4 – 4x + 12) dx - 3. S(x2 + 1)² dx

A: Since you have posted a question with sub-parts, we will solve the first three sub-parts for you. To…

Q: (3) x°lnx dx

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Q: solve for y in terms of t or x, as appropriate ln (y - 1) - ln 2 = x + ln x

A: Given equation, lny-1-ln2=x+lnx

Q: x. e²ydy + (*²*¹) dx = ( 0 (Variable separable)

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Q: solve for y. 3y = 3 ln x

A: 3y=3lnx

Q: x+4 ] Find y' of y = ln Vx-4

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Q: 10. S 1 √√x+ ³√x dx

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Q: 1ln(1 + x) dx X 0

A: We have to integrate