Find the indefinite integral of 3(x-1)(2-3x) dx

Q: Find the indefinite integral.

A: We find this indefinite integral by the method of substitution. We re-write the integral in a…

Q: Find the indefinite integral ∫ 3x dx

A: With n=1 , and C=integrating constant

Q: 7. dx

A:

Q: Find the indefinite integral ∫(x3 − 4x2 − 4x + 20) / (x2 − 5) dx

A: Given ,∫x3-4x2-4x+20x2-5dx

Q: 2 3 dx

A: Some properties of integration  I=∫g'(x)f(g(x))dx, put  t=g(x)   then I=∫f(t)dt ∫axdx=axloga+C

Q: Evaluate the indefinite integral. In(x-6)dx

A:

Q: Find the indefinite integral x + 3 dx x + 6x + 7 9.

A:

Q: Find the indefinite integral. x + 8x + 1 dx *+ 12x2 + 3x + 2

A: The given integral,∫x2+8x+1x3+12x2+3x+2dx

Q: Find the indefinite integral. ∫√(25x2 + 4)/ x4 dx

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Q: Find the indefinite integral.

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Q: Evaluate the indefinite integral. x + 4 dx x2 + 8x + 17

A:

Q: Evaluate the indefinite Integral 9x - dx 8x2 + 3

A: in the given integral  let  8x^2 + 3 =t           16xdx = dt            xdx = (1/16)dt         put…

Q: Find the indefinite integral ∫(x3 − 6x − 20) / (x + 5) dx

A: Given: ∫x3-6x-20x+5dx for integrating this we substitute x+5=u now differentiating both side with…

Q: Find the indefinite integral ∫ (x2 − 2x) / (x3 − 3x2) dx

A: Given: ∫x2-2xx3-3x2dx for solving this integral we substitute  x3-3x2=t now differentiate both side…

Q: Find the indefinite integral.

A: Given: ∫x1-3x24dx for evaluating this limit we substitute 1-3x2=t now differentiating it both side…

Q: Find indefinite integral.

A: Let the given integral be y - y = ∫x12+3x-23 dx      Identity to be used - ∫xndx = xn+1n+1+C

Q: Evaluate the indefinite integrals - e2* )dx

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Q: Find the indefinite integral. x² + 4x +3 dx x3 + 6x2 + 9x + 8

A:

Q: find the indefinite integral of (3lnx)/x dx

A:

Q: Find the indefinite integral of (x2/(3+4x-4x2)3/2)dx

A: Consider the following integral: ∫x23+4x-4x232dx=∫x24-4x2-4x+132dx=∫x24-2x-1232dx Substitute…

Q: Calculate the definite integral of: 2x + 4 dx

A: compute the definite integral let I=∫242x+4 dx

Q: Find the indefinite integral.

A: Given integral: ∫x2-2xx3-3x2dx

Q: Find the indefinite integral ∫ 3x/(x + 4)    dx

A: Given ∫3xx+4dx The integral property used here is  ∫afxdx=a∫fxdx

Q: Find the indefinite integral

A: We have the integral as I=∫x5-x2dx Let us consider that, -x2=t-2xdx=dtxdx=-12dt

Q: dx x²-x-2 ーズ

A: Given integral, ∫2x2-x-2dx

Q: Find the definite integral from 1 to 3 of |-3x+1| dx

A: According to the given information it is required to find the value of the definite integral.

Q: Find the indefinite integral.

A: Consider the given integral as ∫x+13x2+6xdx

Q: Find the indefinite integral ∫(4x3 + 3) / (x4 + 3x) dx

A:

Q: Evaluate the indefinite integral.

A:

Q: Find the indefinite integral ∫ 5/x√(9x2 − 11) dx

A: Given: ∫5x9x2-11dx

Q: Evaluate the indefinite integral of (x+3)/[(x-1)2(x2+2)] dx

A:

Q: Evaluate the indefinite integral

A: Given:

Q: Find the indefinite integral. x² + 4x + 3 dx x3 + 6x2 + 9x + 8

A:

Q: Find the indefinite integral of (5/2x-3x/5)dx

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Q: Find the indefinite integral: Integral of (x3 - 3x divided by 3x2) dx

A:

Q: Evaluate integral 0 to 3 (x 3 -6x) dx

A:

Q: Find the indefinite integral ∫ 1/x√(4x2 − 1) dx

A: Given:∫1x4x2-1 dx

Q: Evaluate the indefinite integral x5 - 5x dx x3

A: This is a simple question related to integration  Solution is given below

Q: Find the indefinite integral. x2 + 12x + 3 x + 18x2 + 9x + 6 dx

A: Integration is also known as antiderivative. Integtation of (1/x) = ln x

Q: Evaluate the indefinite integral. x + 3 dx x2 + 6x

A: Given,            ∫x+3x2+6xdx

Q: Evaluate the indefinite integral: 3 3 x² dx + С. x3

A:

Q: evaluate the indefinite integral.

A:

Q: Find the indefinite integral. x2 + 4x + 3 dx x³ + 6x2 + 9x + 6

A: Here we have to solve integral equation by substitution.

Q: Evaluate the indefinite integral x5 – 5x dx x3

A:

Q: Find the indefinite integral of (x2-cos x) dx

A:

Q: Find the indefinite integral ∫(x4 + 5x) dx

A: Given: ∫(x4 + 5x) dx Now by using the sum rule, ∫fx±gxdx=∫fxdx+∫gxdx⇒∫x4dx+∫5xdx

Q: Find the indefinite integral ∫( x3 + x + 1)/( x4 + 2x2 + 1) dx

A: Assume the given integral be I, rewrite it. Break the integral in two parts.…

Q: Evaluate the indefinite integral: x(7+6x³) dx +C.

A:

Q: Find the indefinite integral. 14x In (3x)dx

A: From the given problem:   I=∫ 14xln3xdx=14·∫ xln3xdx   From the integration by parts:…

Q: Evaluate the indefinite integral of (1)/(x^3+x) dx.

A: As per given by the question,  ∫1x3+xdx ⋯⋯⋯⋯⋯1 Now, From partial fraction,…