To evaluate x²cosx dx' x2sinx – 2x cosx+2 x2sinx – 2x cost – 2 x2sinx+2x cost – 2 x2sinx+2x cosx – 2 use integration by parts. What is the expression after the second integration by parts? cosx dx + C -2/cos -2/co cosx dx + C -2 fcose de + C dx - 2 fir sinx dx + C

Q: Integrate S(csc 3x + cot 3x)²dx A. cot 3x –csc 3x –x+ C -cot 3x -csc 3x – x+C -를cot 3x- sc 3x + x +C…

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Q: {3x+y=-3 2x+3y=5 (X,y) =

A: Given: 3x+y=-32x+3y=5 To Find: The value of x,y.

Q: xx X1+iy,=X2+iy20 2 X =X y= OךX

A: In the given question we have to choose the correct option from the given options  Concept: two…

Q: NIFN dx √2x (√2x + 9)

A: Given query is to find the value of the integral.

Q: Find * 4xe²? dx. e2z² + 2ez² +2 -2tan-1(e*² + 1) + c 2tan-1(e* + 1) + c O Option 2 Option 1…

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Q: X1+iy,=X2+iy2" ューx,○ X =X ,=y,O *ュ=ソ,○

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Q: Differentiate 4(x + 2y)2 = x2 + y2

A: given equation 4(x + 2y)2 = x2 + y2

Q: Integrate (2x + 5)(2² + 5x)² dr Select one: O A. (²+5x) + C OB. (2²+5x) + C OC. (x² + 5x) + C OD.…

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Q: Max Z= 5x1 + 7x2 S.T X1 + X2< 4 3x11 + 8x2 <24 X1 and x2 2 0.

A: The LPP is given as Max z=5x1+7x2 subject to x1+x2≤43x1+8x2≤24x1≥0x2≥0 We will solve it by Graphical…

Q: Max Z = 3x1 +5xz+ 4x3 2x1 +3x2 + 0x3s8 3x1 +2x2 + 4x33s 15 Ox11 + 2xz + 5x3 10 X1, X2.x3 all 2 0.

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Q: Find (4z² + 3z")dz -1

A: In this question, we need to find the integral of the given function.

Q: x² + ax - 2bx - 2ab – x - 2ax2 - 2bx2 dx x* + ax² – 2bx2 - 2abx

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Q: Find for the following: y = 4x° – 2x 322 – 4x – 14

A: Recall: d[a f(x)± bg(x)]dx=a d[f(x)]dx± b d[g(x)]dx; where 'a' and 'b' are constants. dxndx= n xn-1…

Q: Find real numbers and such that 2.x – 3iy + 4ix – 2 y – 5–10ix = x + y – iy + 2-(3– x)i

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Q: x/2(2x + 7)* (3x² + 1)? Differentiate y = In

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Q: 2 x²+yi -I -VI-2²

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Q: V = So 29 (3+2)(1-√5) dys

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Q: Evaluate d (2 – 1) (z + 7)] | da O 3x^2 + 14x + 1 3x^2 14x + 1 O 3x^2 - 14x - 1 3x^2 + 14x - 1

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Q: ifferentiate the funtion y = 2 csc (1-3x)

A: Giveny=2cosec(1-3x)Aim: dydx

Q: Find 2dx x² + 8x + 17 Find dx xV5x2 – 3

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Q: Differentiate y= Vcos-1x 1 2/1 – x²Vcos-1x 1 2vx-x²Vcos¯1x 1 V1-x2 Vcos-1x 1 2vcos-1 x

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Q: Given h(x, y, z) = 5 x² + 2²-1 7 determine all points at which h is continuous.

A: We have to find the all continuity point from the given information

Q: I-1 I 1² +51 +8 dz

A: Given, ∫x-1x2+5x+8dx