| (1 + x²) e³* dx

Q: (2x + 4) + 1 dx- x² + 4x + 5 x² + 2x– 10 2 (2x + 4) + 1 2 Consider dx = x2 (x² + 4x + 5) dx.…

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Q: 3. Explain how you could solve the equation In z = 3 using the graph f(x) = ln x

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Q: lim In(12x + 1) csc(4x) A) 0. B) 1. C) e. D) 3.

A: Given that limx→0+ ln12x+1 csc4x Evaluate the given limit

Q: –2x x- -dx x2+e-2r A (x-e-2r) x²+e-2x xp- B -2 (х—е -2) x²+e-2x xp- e -2r dx x²+e-2r x²+e -2x D E)…

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Q: 3/2 x+3/2 x² - 2 Show that dx = In 3.

A: Since there are multiple questions posted, we will answer the first question posted (4). If you want…

Q: Evaluate [(e²/² - x)(e²/² + x) dx. Show your work.

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Q: x3-27 dx 2. ズ-3

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Q: 4x x*e*dx (2sin dx V4-x2

A: We can solve all the intregration problems with tha mathod of substitution. In substitution we use a…

Q: 1. Evaluate: a) S x³ sec-1(ln (x)) dx

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Q: find Dxy if y=e^(-2/x^2) Dxy=?

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Q: In (ax-1)dx

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Q: dx Evaluate x²/4 x²

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Q: sect (x) dx[ by two methods

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Q: コ-6 dx 1十XS

A: Given Data: Subdivisions: n=6 Integrand: ∫0311+x5dx Function: fx=11+x5 Lower limit: a=0 Upper limit:…

Q: -(X-3) e dx

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Q: 3-S(1+ x²)e=*dx

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Q: (x²-ax +4" dx

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Q: d Evaluate 1x sec -'x2 dx

A: to evaluate the value of: dxsec-1xdx when x=23 as we know that product rule of differentiation is:…

Q: S x²-x +2 -X X³ + 4x -dx

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Q: Find the Gamma and Beta Function Below: 5 -x4 : 2x'e dx

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Q: )Solve for k such that 1 k(x2 – 2x + 1)dx = 5 - 0.

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Q: . Scos(In x) dx

A: Formula used in integration by part   ∫ fg' = fg -  ∫fg'

Q: a. S f (x² - 2x + 1) e²x dx

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Q: 1-x 362. dx; u = 3x-x 3x-x'

A: As per bartleby guidelines I need to solve only one .So, please repost the 2nd question separately…

Q: 7. f* (x² + 8) & dx CO (³ (x-1)

A: We have to solve integral

Q: dx. 4-x² Evaluate IN

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Q: (4 - e3 dx

A: We have to calculate the given indefinite integral

Q: Solve for k such that 1 | k(x² – 2x + 1)dx = 5

A: Given problem:- ∫ k(x2 -2x+1) dx =5  Solve for k

Q: -(x-3) e dx

A: Since solve the first question for you. If you want any specific question to be solved then please…

Q: d° Find -(x* In x). dx

A: To obtain d9dx9x8lnx. Compute the derivatives.…

Q: -1)/(x4))1/2

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Q: y = In [e x (x° +2) (x³ + 8x)] d [In [e 6x (x5 + 2) (xS + 8x)]] =] dx

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Q: ·S In (x) vxln(x)-x X dx

A: We know that integration power rule is - Integration of xn is xn+1/n+1 + C . Here C is integration…

Q: 2.x3 – x² + 2x – 2 dx x² (x² – 2x + 2) - -

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Q: compute the higher derivative

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Q: 1- f, 2x e dx

A: integration is given below

Q: х — х* - 3х - 2 X | dx x* - x'+ 4x – 4x 3

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Q: 1- (x².e2). dx

A: First integrate the function: ∫x2e2xdxIntegrate by parts: ∫fg' = fg-∫f'ghere f=x2, g'=e2xf' = 2x,g…

Q: 12. Integral x² dx x³ +4

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

Q: fin (x In (x + x²) dx

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Q: y=In [e 7* (x° + 5) (x³ + 8x)] d [In [e 7* (x³ + 5) (x° + 8x) ]] = ] dx

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Q: dx Evaluate e x(Inx)3

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Q: ~10 xe Ax) = Sg" -dx (x + 2)(x+3)(,² – 1)

A: The given problem is evaluate the given definite integral using Simpsons 3/8 rule.

Q: In(x) dx 4

A: we know that, intergration of ln(x) = xln(x)-x Also d/dx (ln(x)) = 1/x integration of 1/x = lnx

Q: 6-6r dx x-3x -2 In|x3 – 3x| + C In|x3 - 3x| + C -1 +C 3(x³ – 3x)

A: The detailed solution is given below Thank you

Q: Find (x + 2)e3* dx

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Q: Evaluate ∫x3 √(1 - x2) dx using a u-substitution

A: It is given that,∫x31-x2dx     We have to evaluate using a u-substitution.

Q: dx 2x2+8 dx -9x2+6x-2 e 2X sin(e2x)dx cos²(e2x)+3

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