DEFINITE INTEGRAL ACTIVITY Find 01x2dx Find 24t2dt Find 12x3-2x+5dx Find -10x(x2-1)dx Find -11x(x2-1)dx Find -12(2+x-x2)dx Find 02(4x-2x2)dx

Q: 2x2 +9x-1 dx x2 (x2 -1)

A: The objective of the question is determine the Integration of Rational Functions.

Q: 4 √25-x² X 3 dx

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Q: Intergration of ∫(4/[X(1/3) + 2X(1/2 ]) dx

A: Explanation and solutions is given below....

Q: 17. √16-e² -dx

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Q: [ (2x–3v5) dx

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Q: 18. [ tan(In x)

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Q: (x +4x' ?-6) dx

A: Explanation of the answer is as follows

Q: indefinite integral. x² + 8x + 3 x2+ dx x3+ 12x2 + 9x + 8

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Q: (Integral sign) x^2/ (square root of 9-x^2) dx

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Q: Find differential equations that refer to nomogeneous or discrebe Ezscu transforinations Jeneral…

A: To find: The general solution the given differential equation. Given information: The differential…

Q: |x Arcsec 3x dx = uv- -Svau Using Integration By Parts, Find UV- du x2 Arcsec 3x dx x²-1 = x2 Arcsec…

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Q: 4. fx(1-x) dx

A: Given ∫x(1-x)9dx

Q: Use partial fractions to evaluate the definite integral. Use a graphing utility to verify your…

A: Using partial fractions to evaluate the definite integral. To Use a graphing utility to verify the…

Q: ду if cosh(3x?y) %3D х + In(e*У + 1) ax

A: Given that cosh3x2y=x+lnexy+1                            ……(1) We have to find ∂y∂x Partial…

Q: Basic Integration (x²-6++4) dx

A: A polynomial in the variable x is a function of the form anxn+an-1xn-1+···+a1x+a0. This polynomial…

Q: First and second derrivative of: x Arctan x-In √x^2 +1=y

A: Given expression: x Arctan x-ln x2+1=y It can be written as follows: x tan-1 x-ln x2+112=yx tan-1…

Q: 1. 8te" dt 2. 4x cos(2 – 3x) dx 3. | (2 + 5z) ei* dz 9,

A: As per the bartleby guideline if more than one question is asked only first question to be solved,…

Q: refertoihe Furction (f. thXX f(x)%=X+10 D=DX hox-2xt7 Dox²+3X+n x2+3X+17 Oe-X2-x+3 40-X2-X十9 2.

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

A: This question is based on indefinite integral using partial fraction.

Q: 13. dx √ex-1

A: Given: I=∫dxex-1   ...1   As we know that; The Chain Rule: fgx'=f'gx·g'x And ∫1x2+1dx=tan-1x+C

Q: Use integration to find the general solution of y''=12x^2 of differential equation

A: The given differential equation is y''=12x2

Q: indefinite integral* 2tan4(x)sec6(x)dx

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Q: TOPIC: Integrals Involving Inverse Trig Function

A: We have to find the integral

Q: integration (x2 / (9 - x2)1/2) dx

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

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Q: ntegral of sec2x+tan2x dx

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Q: *indefinite integral* (2/(x + 2√ x + 1)) dx

A: ∫2x+2x+1dx

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

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Q: find general solution. find the solution of the initial value problem as an explicit or definite…

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Q: indefinite integral* (26/(x-1)(x2+25)) dx

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Q: definite integral from 1 to 5 of (x^2 +5/3)(x^3 +5x)^-2 dx

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Q: Integral Evaluate the √x (x-²) ³ dx

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Q: Indefinite integral of csc(x)/csc(x)-sin(x) dx

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Q: b. 3x2+4х+1 dx 2х

A: As this is a multiple question according to the Bartleby Answering rule, only first question is to…

Q: 10. X dx

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Q: 5x² – 4 dx x3 + 2x2 3.

A: (3) Given: - The indefinite integral is, ∫5x2-4x3+2x2dx To find: - The solution of the given…

Q: Integral sign: 1+ x/1+x^2  dx

A: Given:

Q: Obtain the differential equation of: Circles tangent to the x-axis

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Q: 20. √9-5x² X -dx

A: SOLUTION-

Q: (3 sin x - sin 3x) dx

A: To integrate: ∫(3sin(x)-sin(3x))dx Solution: We know,∫sin(ax)dx=-1acos(ax)+C Using above standard…

Q: Evaluate the indefinite integral. (2 + 12VX dx Evaluate the indefinite integral. | (x³ – 10x)(x4 –…

A: Given that some integration question we solve this integration problem by using general formulas of…

Q: *indefinite integral* ((x2-x+4)/(x3+2x)) dx

A: The Given integral can be expressed as:  I=∫  x2-x+4x3+2xdx=∫x2-x+4xx2+2dx Now , separate each term…

Q: Using Integration By Parts, x Arcsec 3x dx=uv- -Svdu 了 Find uv- x² Arcsec 3x – 2 dx 2 x²-1 3 x…

A: The given integral is: ∫x sec-1(3x) dx

Q: 1 х-х2 dx -8 2

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Q: 14. √2-√x dx

A: SOLUTION-

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

A: use partial fraction decomposition we solved this question.

Q: 1 6x² ex³ dx

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Q: Concider the area shown, bounded by f(x)=x4 and g(x)= 16x-4x2. Set up the intergral to find the…

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Q: x3 dx x6+15x++75x²+125

A: Here we substitute x2 = t to solve this integration.

Q: Find the AREA enclosed between the curve y = -x³ + 2, Y- axis and a line y = - 6. Provide a skeʻch;…

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