is Convergent divergent. Evalate Determine whether each integral convergent. or those that are In X

Q: %3| Find the value of k if the f(kx2 – 2x + 3)dx = 14.

A: Definite integration

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A: The given integral problem is solved below in detail.

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A: Follow the procedure given below.

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Q: Evaluate the expression. 3 4 O A. -81 O B. 81 Ос. 81 1 O D. (-81)

A: We can find the answer as below in simplified form.

Q: + 3х — 1 V4r6 – 2x lim -00

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Q: 9. S ze4z²dz 422

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Q: (2x+3)y'= y+y²(2x+3)^½ Linesr equation or bernoulli equation

A: 2x+3dydx =y+y22x+312

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Q: 3.

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Q: x+ 4x2-9x-36 y = 4x2+28х+48

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Q: 1. Y= 3x -x- 2

A: Find your answer below 

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A: Topic  =Limits

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A: The integral is  ∫09 7(x-1)1/3dx

Q: 3 lim tan³ 2x x→0

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Q: tan x sec xdx

A: Follow the procedure given below.

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A: Follow the procedure given below. 

Q: 16 Evaluate ex12 (x4 – 2x² + 1)²dx. 81

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Q: x3 + 2x2 – 7x 7. lim X1 X -3 x³ + 2x + x .2 8. iim 2 x - x - 3 .2 x3 + 2x + x 9. lim х-3 2х2 — 2х — ...

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Q: lā + b| = |a + b|

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A: Given: x2-9y4=lny   We know that; The Sum rule: f±g'=f'±g' The Power law: ddxxn=nxn-1

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Q: x²dx x3+ 4

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A: The given integral,       ∫xx2+2x+3dx

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