Eliminate the arbitrary constant in x^3 - 3yx^2 = c. *

Q: (In x)* Integrate: 1

A: Given,            ∫1eln x4xdx

Q: What is the indefinite integral of x*5th root of 4x-3

A: Given: ∫4x-31/5dx

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Q: Find the indefinite integral.

A: The question is taken from the calculus in which we have to find the integral  of given question We…

Q: Use the Karl weierstrass substitution to integrate

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Q: | In(vE + 5)dt

A: Given: I=∫lnt+5dt  ……1

Q: 3. Integral xdx 10x -234

A: We will use substitute method to solve this integral.

Q: Evaluate the indefinite integral S(z -9-dz 를-9z + 듣 +C 4x4 중-9z + + C 222 - 9x + 7lnx³ + C - 7 9x -…

A: First we write each term using exponent

Q: evaluate integral tan2xtan3xtan5xdx

A:

Q: evaulate the indefinite integral  4x^3+2x^2+6x-5/(x^4-x^3)

A: Firstly, We factorize the denominator

Q: Evaluate the indefinite integral. 5dx x In(8x)

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Q: Find the indefinite integral of (12x)/(x-7)

A: we have to find integral of :12x/(x-7)

Q: evaluate the indefinite integral.

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Q: Еxercise 13 Determine how тany times 0 арpears in thе тultiplicatioп table for Z16-

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Q: dr Vr - 9

A: Given: I=∫drr3-9   ...1   As we know that; The Power rule: ∫xndx=xn+1n+1+C And ∫1ax+bdx=1alnax+b+C

Q: Use linear approximation to approximate the value of In(0.83) two decimal places. In(0.83) ,

A:

Q: When integrating (x+3)/(2x^2-3x-3), can I rewrite as integral of ((2x^2-3x-2)^-1)*(x+3).

A: Consider the given integral function.

Q: Use (3) from Section 5.4 to evaluate the integ '5 x-7/9 –7/9 dx

A:

Q: Use (3) from Section 5.4 to evaluate the integral: -7/9 dx %3D 4.

A: Given integration is : ∫47x-79dx To find the value of integration.

Q: Use a table of integrals or 6. 1 dp- x² -4 3

A:

Q: Evaluate the integ de x"+ 4

A: Solving the problem by doing the integration.

Q: 2 + 5x6

A: This question is based on indefinite integral. General form, Integral of xn  is x(n+1)/(n+1)  As for…

Q: Evaluate the integral. 8. (x³ - 6x) dx -8

A:

Q: 2. Use Theorem 4 to evaluate (3x +2x2) dx

A: Given ∫01 (3x+2x2)We know that ∫xn=xn+1n+1+C

Q: -9dx xVx2-9

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Q: -3.x 4.

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Q: Evaluate the integral x"+ 4

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Q: Evaluate the integral [5x/( x²+1)(2x-2).

A: Given, the integral

Q: Verify using Pathagoream Thereom EA 2xv x44 -radius

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Q: Evaluate the indefinite integrals. 3x(4x-1)7dx

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Q: Find the integral of  (3x2-4)/(x3-4x+1)

A: To find  ∫3x2-4x3-4x+1dx

Q: Mroset Whiteboard EX2: 3リ-17

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Q: 1. Express into parital fraction. Hence evaluate y2 -4 *2-4

A: according to our guidelines we can answer only three subparts, or question and rest can be…

Q: Evaluate the integral. '3 4,3 3,2 dt -

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Q: Evaluate the integral of (2x-3)/(x3+3x)

A: Indefinite integration

Q: Evaluate the integral. .2 - 3 x

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Q: Show that 1 sech-1x = In x2

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Q: Evaluate the indefinite integral. (2x - 4)5dx

A: Solve the problem by substitution.

Q: Show that dx = x² – 8x In (7 + 4/3). -

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Q: How to find the indefinite integral of ∫ 4/√9-x^2

A: Formula:

Q: Evaluate the integra 4 X - 5 /1

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Q: sec 2x CSC 2%

A: Solution: Consider the given integral: Now, rewrite the integral: Let u = cos 2x

Q: 3)(2x-ズ) ax

A: First I have split the integral in two parts then just use the rule of integral and find the…

Q: How to solve J5xt3dx ustrg=5x+3 for integuation

A: To integrate

Q: find the area of the shaded 4) reglon y = 2 2- y = 2 sin(Tx) 3 х -1- -2+ -3+

A: From the given graph the shaded part is on the interval x=0.5 to 2.5.  So find the area between the…

Q: Evaluate the indefinite integral. 4x-3/(4x^2-6x+6)^5dx

A:

Q: evaluate Inteyral 2 2x-1 x3+x2

A: The given integral is ∫124x2+2x-1x3+x2dx. Calculation: Rewrite the partial fraction of the integral…