Which of the following integration expression can be transformed into integral of power (Choose 2) 5dx A V1-4x² dx B V1-9x © Ssin*(x)cos?(x)dx 2 dx D 1+ 4x2 3xdx E V1+4x2

Q: 2x dx e2* +3e" +2 5.

A: To solve this integral, a substitution of is taken. Then it is differentiated to find the value of…

Q: 04 * O O Evaluate -1+2x-2x^2 -1+2x+2x^2 -1-2x-2x^2 -1-2x+2x^2 d dx 1-x fe 1² dt).

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Q: > Evaluate the Antegral dx ax45x +2

A: Rewrite the given integrand as follows. 32x2+5x+2=32x+1x+2=22x+1-1x+2

Q: tan Find -dr using integration by parts.

A:

Q: Solve Initial value problem i. 8cos?ydx + cosec²xdy=0, y() = dy _ x(r+1) 4y3 y(0) =- 1/V2 ii. dx

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

Q: solve xsinydx+(x2+1)cosydy=0

A: Given differential equation is: x siny dx+(x2+1) cosy dy=0 Use variable separable method to solve…

Q: Integrate S (2x+1) Staz+X+4) dx

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Q: b) Evaluate: i) Sx(V ++x) dx -2 10 dx ii) J1 x(10+Inx)³ jii) Jo 1+x? dx

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Q: (ど4ー) 2dx 4 X(3(Inx)*+121nx-15)2 2)

A:

Q: CSCX-1

A: Multiply numerator and denominator by (cscx-1)

Q: Evaluate the integral: · √2 9 1 + x² -dx

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Q: Integrate (2x - 5) with respect to x from x = 2 to x = 5.

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Q: compute (x2 - 8x +20) dx on the interval (0,1)

A: To evaluate the given definite integral over the open interval (0,1)

Q: 2. Perform the indicated operations: (2D2 - 3D+5) (xcox x- 3) a. b. (D3+2D- 4) (e*sin x + e2x)

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Q: Evaluate: [(5x* - 2х* + 3х - 4)dx

A: Evaluating the integral

Q: 2 Evaluate the integral: 3x(5-3x dx

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Q: Evaluate (i) [Hint: / 2xe" dx udv = uv - 3x (ii) dx x2 – 4x – 5

A: we have to find the following integral

Q: Sel+x3/2 Vx dx ,1+3 X,

A:

Q: rtan r d Vt3 +4 dt dx 1/a

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