1 -dx. J x2 + 2x +2

Q: B- Find if y = (x²+1)(x+3)²/2 -, x >1. dx X-1

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Q: dx J a-3)(x+1)

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Q: Evaluate the integral.

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Q: dx J (x² + 2x – 10)²

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Q: c) fx' sin(x)dx d) fsin' dx 3

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

Q: Specific answer please thank you.

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Q: 2. x²y² = 3y' +1 dy %3D dx

A: Please refer the attached image for complete solution.

Q: .3 1 J2 dx=? x² – 4x+5

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Q: Ге-). 5x) dx х Je

A: Consider the upper integral.

Q: 3 а) J(x2 + 2х + 3) dx

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Q: 1 dx. | z(x² + 2x + 2)

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Q: b) Sx² sin 3x dx

A: To find :                            ∫x2 sin 3x dx                Let I =…

Q: (2) J xe** -T X хе dx

A: Solve by parts method

Q: Find J 11x(14)* -1'dx

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Q: dx J V1-4x2

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Q: 4cos (x)dx =

A: detailed solution is given below

Q: | 2 x* /2 r +I dx :

A: Here we have to apply the tabular integration by parts.

Q: xe* dx J, (1+ x)²

A: ∫01 x ex(1+x)2 dx

Q: J x(x² + 3)5 dx

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Q: (х — 3)dx J («+2)(х + 1)?

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Q: (х + 3)2 dx. J V40 – 6x - x²

A: Evaluate ∫x+3240-6x-x2dx=?

Q: (x– 3)dx J (x² + 2x+ 4)²

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Q: dx J (x – 7)²

A: Given,           ∫xx-72dx

Q: dy x3/2 dx

A: Given: dydx=x32

Q: Find J 15x(4)* - dx

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Q: 1+2x2 dx J x2(1+x?)

A: A detailed solution is given below

Q: evaluate the integral.

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Q: 2 (2xy t Hy-3) dx + (x +2J°dy =0

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Find at x= 2 dx? 4 %3D dx? 2.

A: Given 2tanx+4y=4 Taking derivative with respect to x, we get…

Q: 2 x? y dy dx 0 - 3x

A: Solution Given ∫02∫-3xx2ydy dxWe need to find the integration.

Q: dy 2xy dx 1-x (1x')* Solve %3D

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Q: 3 dx dy +zXxgd x = X %3D Ans: y

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Q: J 6x x +3 dx

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Q: (a) Find dy if y= 1+2x² dx

A: We will differentiate w.r.t. x to solve 3(a).

Q: dx J V3 – 2x – x2

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Q: 5 dx J (x - 1)(x2 + 4)

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Q: 11 1 dx Vx – 2 J2

A: First solve integration.

Q: (у? — Зу— х) dx + (2y — 3) dy 3D 0 | -

A: To solve the differential equation of the form M(x,y) dx+N(x,y) dy=0 then firstly determine ∂M∂y,…

Q: T sec"(evE + 1) dx Vxe-Vx

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Q: Evaluate: dx A **+ In\x*| + C 1 +C 3x3 B 4 (©) 3x2+ -5 3r2+

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Q: x3 dx 2. J T2+9

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Q: dx 2. J I ( 2+4x+4)(x²-4)

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Q: d 23 dx x2 (1+t²)* dt

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Q: 3. J - dx =? (x² + 1) (x + 2)

A: First we have to resolve the given expression by using partial fraction.

Q: 1 -dx%3D J x²+4

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Q: 4) dx + xdy = x²e" dy %3D

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Q: |(3nt?t? – t*) (3n² – t') dx - --

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Q: .2 dt t2 + 1 dx

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Q: dy Find , if x + y = 9xy. 4 %3D dx

A: We use implicit differentiation for this Question

Q: Find the J(2x + 1)³ dx

A: