2. S (x * - x³ -3x) dx V4

Q: Evaluate S Vx – x² dx -

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Q: 9. Integral (2x-5) dx x²5x+3

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Q: 7. Find. V2x dx - 1

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Q: 8. Integrate S –x³Vx² + 2 dx

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Q: 3 how that S 5x(1 – x²)² dx = 1

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Q: 4. f Inv9 - x2 dx - integration by parts

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Q: -) S xe²*dx .2

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Q: 6 iven differentinl ....(1x) dx = 2x+y with (2*)

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Q: S 2dx x(3(Inx)"+1지lnz-15)호 2 +13/nx-15)

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Q: 2x +9 Find- , if y = dx x-5x+1

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Q: 13. S: 5x dx x5-3

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Q: fon'x secx .dx

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Q: .4 2 Evaluate : S(4x3 +)dx x+1

A: This question is based on definite Integral.

Q: Find dy/dx  2x2+3x+5

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Q: Can i get help step by step?

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Q: Evaluate. .3 S (-x² + 4x – 5)dx -2

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Q: Find dydx for y=ln2x3−x2

A: This question is based on derivative.

Q: Evaluate S x³ (2 – x)² dx

A: Given: ∫x32-x2dx

Q: 2 1. x(-x² + 1) dx 16 dx 4x2 2. 3. dx x3/7 -V4x dx 4. 5. . (-2x! – x295) dx

A: According to the guidelines issued by the company We are supposed to answer only first three…

Q: -4x2 + 21x + 10 - dx = J C x3 + 10x2 x + 10

A: To find the value of A,B,C can be found by comparing by the decomposed fraction which gives…

Q: Differentiate. y = In [(x + 4)(3x- 2)(5 – x)] d In (x+ 4)(3x – 2)(5- x))] = || dx

A: We have, It is known that the derivative of ln(ax) is, and derivative of the function of u.v form…

Q: 4. Evaluate: - V16. dx 16 x2 -

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Q: b) Integrate: 2x + 5 -dx 2x*(x+3)(x –1)

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Q: In(13x) Integrate: S dx x7

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Q: 5. Show that (x² + 1)e-* dx = -x²e-x – 2xe-x – 3e-x +C

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Q: 1- S dx -4 4

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Q: 2-x dr = - tn(4x* + 4x - 3) + 4x² + 4x – 3 16 (x + 3)*(x – 1)^ | F(x+2)* x+1 (x+ 3)(x + 2)(x – 1)…

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Q: cV9-x² ¢V9¬x² dz dy dx

A: Explanation of the answer is as follows

Q: .7 Evaluate ſ x³tan-1x dx.

A: The integral is given , ∫x3tan-1x dx. Solve the integral by integration by parts, ∫x3tan-1x…

Q: 5) Evaluate x2n-1e-kx² dx

A: Gamma Function: Γ(n)=∫0∞tn-1 e-t dt And Γ(n)=(n-1)!

Q: Evaluate integral 6x²–2x−1_dx b. S 4x -x

A: To evaluate the following integral. ∫6x2-2x-14x3-x dx

Q: Evaluate Ssin" (2sv1-x*)ds. dx.

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Q: 3 Solve S (x dx.

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Q: 12. Integral x² dx x³ +4

A: Given : x2 dxx3+4 To find : ∫x2 x3+4dx

Q: 6. 2 I (ve**)dx dy у /2

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Q: 13. S 5x dx x5-3

A: To integrate ∫5x4x5 - 3dx

Q: Find S x-2 dx Vx+3

A: Integration is the process of finding the anti-derivative function of the given function. A…

Q: In 2 e2x dx V1+ ex

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Q: Evaluate ſ _dx V16-x 4-x

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Q: 13) [[sech x – csch x }°dx

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Q: Integrate sec^2 (1-4x) dx

A: -tan (1-4x) /4 +C

Q: Find S 6+ 3x + 4 dx x2+1

A: Solution:

Q: 2 - S tần² (3x)sec²(3x)dx

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Q: 8. (b)/2 -- xe dx

A: Integration using byparts: where u is the first function and dv is the second chosen using…

Q: 2-3x dx V2x -x+5

A: Given: ∫2-3x2x2-x+5dx

Q: Compute x1+ x² dx 3

A: Given,           ∫01x1+x23dx

Q: (4 - x2)3/2 dx 3

A: Consider, I=423∫-22(4-x2)3/2dx I =4232∫02(4-x2)3/2 dx   since f(x) is even function that is…