Question 2 a) Evaluate: b) s feta 00 +y² dxdy Show that for double integral dxdy rdrde

Q: dx 10) The integral is equal to xv4x2 -9 A. sec-)+c c. Įsec-)+c D. sec-)+c sec

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Q: 2. dx Ix Also, Prove that 22 %3D dxdj = dy dX

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Q: Suppose you want to prove that ARST Theorem. If you know that ZR = LX, what else do you need to…

A: In ∆RST  &  ∆XYZ, ∠R≅∠X.

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: TEST FOR HOMOGENEITY: */70 3. e"

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Q: Pge Pleane schne dhe integped: VI-x" dx .

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Q: QS A) Find IF y = - Ve IF y =-Vt and t sinx

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Q: Pind the ualue of e is an integrating facko of ly-y')+xy'so

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Q: c) Seax.Sinbx. dx =? Calculate the integral

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Q: Let q > 0. The integral 1 %3D (4x + 3)5 8.

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Q: L L'FCE)]> F(4) = 4 sin #t

A: The solution is given as

Q: YA y = 3 ly 4- x2 The above diagram shows part of the curve y=4-x. The straight line y = 3 cuts the…

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Q: %3D Evaluate the fo llowing intergrals nest_x5 dn.

A: Solving by definite integral we have

Q: The integration of cosx is

A: Recall: Definition of Integration:      In mathematics , Integration is a technique to finding a…

Q: Let Fes) = fcx-s)dx Find fes) for %3D fex).x^, a constant the funchion where n is

A: Definite integral of the function ∫abf(x)=F(b)-F(a) where F is antiderivative of f .

Q: Use two -point gaussian square to approximate the following double integral:

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Q: Evaluate the Integral S Ctan 3 CE>) (sec 3 LE> ) dt

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Q: 2+? (23 + 9x)

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Q: 7) Estimate the value of e dx using Simpson's rule using 8 subintervals.

A: Given: ∫02ex2dx Here, n = 8 subintervals

Q: Multiply A Simpuity (1-cot e

A: Follow the steps.

Q: ez dx

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: Se-Ax .sinh(2x) dx

A: We know, sinh(x)=ex-e-x2

Q: Entae akale VX+39 dx

A: We have to solve

Q: 5) Evaluate 2x enx da

A: we have to find

Q: Evaluate the integral cot5 x csc3x dx O Lesc" x - ese" x + cse" x - c 2 csc' x + 5 글csc3 x + C 1 X +…

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Q: Ex) Consider flx)=x^2", x= 1.7,2.0, 2.3,2.6,2.9 P foruard diff. central diff Backuard difp. find…

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Q: Show that a a¹ = 1 (mod p) ()-(-)

A: We use the congruence property of Legendre Symbols to answer this question. We shall show that if…