= Evaluate : (v3 V1+x? dx 1-x?

Q: Evaluate: a) +7sec2 x dx /x 1+x?

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Q: If y = (x² + 6) °, find dx2

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Q: x+2x dx r2+1 -2.

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Q: r16 dx 3. J2 2xVIn x

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Q: 은 J4-√x dx

A: This question can be solved using integration by substitution.

Q: Q2/ Evaluate: 16 c2 y dx dy 113+x9

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Q: Q4/ Evaluate xe2x dx, using i- Two point formula

A: Solution is given below:

Q: ® 2ly*t9) dx +(1-x*)ydy = %3D

A: given DE 2y2+4dx+1-x2ydy = 02y2+4dx = -1-x2ydy2dx1-x2 = -ydyy2+4integrate on both sides to get the…

Q: Gi iven that fx) dx: find | f(x) dx. 77

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Q: dx Evaluate So x²+4

A: Follow the procedure given below.

Q: dx 4. JF*+x+1)

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Q: Find the indefinite

A: Consider the integral

Q: O Find (a) |VT-x)/x dx, (c) (4-x*y² dx. Ans, ía) 1/60, (/) x/2. (c) 31

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Q: Evaluate dx V4x – x?

A: The given integral is ∫dx4x-x2.

Q: Q7 Evaluate: 2x J dx 2x +3x+2

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Q: 1- x dx 21 y =

A: We solve the given integral using Trigonometry substitutions method.

Q: 3 X dx V16 – x? 16— х*

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Q: dx/dt = square root5 - ex,

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: (c) Evaluate (1+ Væ)' S dx. 2C

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Q: --2 -3- [ f(2)dx = f(x)dæ = to

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Q: V1+ x² dx 2.

A: Follow the procedure given below

Q: dx х V1-4 In2х

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Q: Evaluate: J6e2 -x(x²)dx

A: Find your answer below

Q: 3 dx o v9 – x²

A: We know that,  ∫dxa2-x2=sin-1xa+C ∫03dx9-x2=∫03dx32-x2                    =sin-1x3+C Now applying…

Q: (d) y" + 2y' + y = 8 cosh x.

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Q: What are all values ofk for which x'dx = 0?

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Q: Evaluate the follo 1) , 3x(x-5)dx

A: Given integral is: I=∫-123xx-5dx

Q: y(6y² - У (бу? — х — 1)dx + 2xdy 3D 0

A: y6y2-x-1 dx+2x dy=0⇒2x dy=-y6y2-x-1…

Q: d²y Find dx ,where y = 5x – 3x²,

A: we have to find the second derivative at x=1

Q: d?y Calculate dx2 y = -4x2 + 4x d?y dx2

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Q: f Srwdx= 10 and [ f(4 – x)dx=? f(x)dx=3, then

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Q: У(xtanx + Inу)dx + tanxdy 3D C

A: The given equation is; y(tan x+ln x)dx+tan xdy=0

Q: dx J 9– (x + 1)²

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Q: Vx - 2 dx 5 x + 1)

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Q: dy Find if dx y = (3x2 + 6x – vx)(5x + + 10). DO NOT SIMPLIFY.

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Q: dx Evaluate -1 x2 - 0 -2

A: The integration formula is ∫xndx=xn+1n+1+C.

Q: dy Calculate dx2 2 y =

A: To calculate d^2y/dx^2

Q: y = Vx+1,1Sx56

A: The table containing the values of x and y of the function f(x)=x+1 is shown below. x -1 0 1 2 3…

Q: im Y cosx t Zx メナロ0 7x¢ し

A: Given query is to find the limit of the expression.

Q: - SxV4=x°dx

A:

Q: Find dy/dx2 in terms of x and y. y = x5 d?yldx? = %3D

A: y4=x5can be written asy=x54 differentiating with respective x dydx=ddxx54=54x54-1=54x14

Q: dx V2.r – Vr + 4

A: Given that: ∫dx2x-x+4