1. Find (2x – e") dx e*) dæ

Q: 3. | (1- 2x) dx 0.

A: Given that, ∫01xdx=12 ∫01x2dx=13 ∫01x3dx=14 The integral to be evaluated is given as, I=∫011-2x3dx…

Q: [" Vsin? 2.x dx = ?

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Q: 1 dx. 3 Evaluate x(lnx 8.

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Q: 3y+125 dy (e+5)² Зу

A: we need to evaluate the given indefinite integration

Q: 4 dx 0 (52+x²)²' 2)2

A:

Q: d Find (5 In(x)) dx

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

Q: 1 dx 4x 12 /-

A: Our Aim is to integrate ∫2314xdx -(i)

Q: In(2) 1- xy ey dxdy

A: Given :            ∫01∫0ln(2)xyexy2 dx dy

Q: Integrate the following expressions: Sex-e (2x – e*). dx !! (x + cos2x). dx "/2 X cos2x.dx

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Q: 12. dx = A 1-e B -1-e' 1+e D -I+e'

A: We will integrate this with respect to x.  And we will find the value of integration.

Q: 1. S(1+ tanx)?dx

A:

Q: 3 53. Find dx. 54. Find dx. x - 5

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

Q: r(4) = S e 2

A:

Q: e tan (e") dx Vsec2 (eª) – 7

A: Use substitutions method for finding the integral.

Q: Evaluale the to 312 bwiny dx 12

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Q: Evaluate L L ³ xy² 1 3xy² dy dx.

A: SOLUTION-

Q: 1. Find dx if it exists.

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Q: sin(In x) dx

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Q: ?cos(xy)dxdy

A: The objective here is to evaluate the double integral: ∫01∫0πx2cosxydxdy

Q: 3. LLa (x + 2y) dy dx

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Q: In x dx= ? 5)

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Q: 6) In(x? + 2)dc

A:

Q: ∫ 7 to 9 (4+3x)dx=

A: Given integral is,

Q: x dy -y dz = 3xy e* dx %3D ete

A:

Q: 9. 3y'e" dx dy

A: To solve the integral

Q: dy Find dx for y = (1+ æ)* || Ans=

A: Here we can find the derivative as below.

Q: e" dx 7.3. J- 1-e 2x

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Q: I. Find dy/dx of the following: 1. y= In 2x 2. y= (In.x) 3. y = In(tan.x)

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Q: •3 2ye dx dy y? Evaluate

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Q: xx x dx

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Q: 1 ,-(x-a)/b dx a

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Q: 2. Evaluate the following: . /32 dx a. b. /a'e'dt c. [e*se" dx

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Q: d = e*, we must have that fe'dx = e*. Since dle)=e", %3D

A: