X - X UIS dx ? %3D 22n „(1-)3 (e) (2n).(2n)! I=u (c) (-1)" (2n+1).(2n+1)! -3 (P) I=u I=u 2n K (a) n.n! viniz Soruxu bos hu

Q: S x4X+1 2

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Q: S(x + 1)(2 – x)° dx 7(2 - x)* - (2 - x)* +c 7(2 - x)* -(2 – x)* +c 3. (2 - x)* +(2 – x)* +c 금(2-x)*…

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Q: x+3 d. O a. -(5x

A: The integral given is, ∫e5x+3dx Substitute u=5x+3. du=5dx. The integral becomes, ∫e5x+3dx=15∫eudu…

Q: (2x) y (2x+4) (3y+8) 7. mZP = mZR = %3D R.

A: Some Properties of Cyclic Quadrilateral In a cyclic quadrilateral, all the four vertices of the…

Q: S Sifoo-gool dx O d2 (f.g) = Sup {/fox) - gox|} V£₁9 € [0₂4] if d, (fig) = Find Ⓒd₁ (√x,x) @d₂…

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Q: fxe* dx= O a. -xet* 4x 4 16 O b. 4х 4х e 4 16 xet* e4x +c 4 4 d. 4x 4х 4 +c 16

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Q: 10x2 + 14x+13 dx. J (2x+1)(2x² +4x+ 10)

A: Given is the symbol of integration; hence, the integration of the function helps to find the…

Q: - In(1) none of the choices -5 - In(3) - In(4)

A: Integration of Rational Function: A function of the form , whereand are polynomials, is called a…

Q: d2/dt2 (21t)

A: In general the second derivative is used to find the acceleration of an object . The second…

Q: 6) L (x- 3)(x + 2)? dx

A:

Q: 시e (+-2) u(1-2) T 2-7

A: Some of the proprieties of Laplace transform Lu(t-c)g(t)=e-2cL[g(t+c)] Ltneat=n!(s-a)n+1 Leat=1s-a

Q: + 9x + 27 dx (x + 3) (x² + 9)

A:

Q: evaluate L-1 { t/(s-2)(s+3)}

A: By using partial fraction and table of Laplace transform we solve the given problem as follows :

Q: x² + 3 (b) dx x²(x² + 1)

A: Given,            ∫x2+3x2x2+1dx

Q: Evaluate: L-¹{- (A) B Ⓒe²t (cosh7t + (D) (s+ 2)²-49 e-2tcosh7t 4 e-2t(cosh7t – sinh 7t) 4 sinh 7t)…

A: The objective is to evaluate L-1s-2(s+2)2-49 Inverse Laplace transform using table values:…

Q: Evaluate: 3 A 1–x*) 2 + C 3 (1-x*) ² + C --(1-x*) ² +C D 1-x*) 2 + C 3

A:

Q: [(*+4) - 8]* dx 32 (*+ 4 )3

A: The given integral is 32∫0∞x+4-82x+43dx. Evaluate the value of given integral.

Q: x/2 – x) · (e*² + x) dx = et + C 3

A:

Q: What is fxe- dx ? -x Oxe xee+C Ox²e-2x 2 + C X -xe-* — e * +C x² e-x 2 + C

A: Consider,

Q: る(4xナx)(10x2+x2-2

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Q: |(z + 5)(x – 7)dx Find + C

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Q: 5. c) [(4x³ + -)dx +

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Q: 5. x3 + 2x – 6 dx x4 + 2x2

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: • N/W [ (x³-3x) dx - 1

A:

Q: Evaluate 7x 11 √(x - - − 1)(x – 3) - - - dx

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Q: dx J x²–18x+97 O fIn (x² – 18x + 97) + C In (x² – 18x + 97) + C 0sin-l (부) + C х-9 O tan-' () + C…

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Q: X-yi/x2+y2=1/(1+xi)(3+i)

A: Given

Q: 2х + 4 -dx 2x2 + 21х + 34 -2

A: Given: I=∫-252x+42x2+21x+34dx For evaluating given integral, we simplify it then integrate it So,…

Q: x2 + 7x + 6 dx. x)(x2 + 2x + 3) Find (3 –

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Q: 2. Prove that d [(2x+1)³] (2x+1)³(4x-19) (x-3)² dx = Then, -5 (2x+1)(8x-38) 3(x-3)² dx.

A: