Find the antiderivative of ln(x)/x7

Q: Find the indefinite integral. (Use C for the constant of integration.) dx 49 + e4x

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Q: Differentiate the following function.   y = ln(x2 + ex)

A: Given function is y=lnx2+ex. To differentiate the function. Solution: Power rule of differentiation…

Q: Find the indefinite integral∫ ln √x / x dx

A: The given integral is

Q: Evaluate the indefinite integral. (use C for the constant of integration.) x8 dx = (x° + 8)3 ... ...…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x3 dx 1 + x8

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Q: find the second derivative of y=ln(e^x+e^-x)

A: Given query is to find the second derivative of the expression.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dx

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Q: Find the first derivative of the following functions with respect to x y = In(ln(In x))

A: To find first derivative of the given function.

Q: Find the indefinite integral. (Use C for the constant of integration.) x + 8 dx

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Q: )=1/x. Using this, compute the

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Q: Evaluate the indefinite integral. (use C for the constant of integration.) x3 – 3x2 + 4x – 8 dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) ot dx 1 + x20

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Q: Find the indefinite integral. (Use C for the constant of integration.) dx x2 + 3

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Q: Differentiate the following function.   y = ln(ex2/x)

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Q: Find the indefinite integral. (Use C for the constant of integration.) ーx)3(2 - x) dx

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Q: Use the Log Rule to find the indefinite integral. (Use C for the constant of integration.) dx

A: Let z=x2+2dz=2xdxxdx=dz2

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x(7 – x)9 dx

A: To determine the indefinite integral.

Q: valuate the indefinite integral. +V2x dx 3x

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Q: Find an antiderivative for f(x) = lxl.

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Q: Differentiate the following function.   y = ln(ex + 3e-x)

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x² + 23 dx

A: Given ∫x3x2+23dx

Q: Evaluate the indefinite integral. (use C for the constant of integration.) ∫x^5/(x^6+1) dx=

A: We can find the integration as below

Q: Evaluate the indefinite integral. (Use C for the constant of integration x3. x2 + 37 dx

A: Given query is to find the value of the integral.

Q: Use the Exponential Rule to find the indefinite integral. (Use C for the constant of integration.)…

A: Given integral,      ∫7xe5x2dx

Q: Evaluate the integral. (Use C for the constant of integration.)  integral symbol (ln(x))50/x dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration. to dx 1+x20

A: To evaluate

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) xp (x² + 5)2 х

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Q: Find the indefinite integral. (Use C for the constant of integration.) el/x6 xp-

A: integral, ∫e1x6x7dx

Q: Find the indefinite integral. (Use C for the constant of integration.) e2x dx 81 + e4x

A: the given indefinite integral is: ∫e2x81+e4xdx we have to evaluate the given indefinite integral.…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dx 1 + x20

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Q: Find the indefinite integral. (Use C for the constant of integration.) xp Vx - 4

A: Given that                                                          I=∫x6x7-4dx Let…

Q: Find the areas between the curves y = 2(log2 x)/x and y = 2(log4 x)/x and the x-axis from x = 1 to x…

A: To determine the area between the curves and the x-axis.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x + 45 dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) (e dx

A: Here we integrate the given function.

Q: Find the indefinite integral. (Use C for the constant of integration.) dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) e2x dx

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Q: dx x2-6x+20

A: To evaluate the given definite integral

Q: Find the indefinite integral. (Use C for the constant of integration.) 2e 1/x x2

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Q: Find the indefinite integral. (Use C for the constant of integration.) x8/9 dx

A: we have to find the indefinite integral

Q: Use the Exponential Rule to find the indefinite integral. (Use C for the constant of integration.)…

A: ∫7xe8x2 dxlet u = 8x2→ du = 16 x dx→  dx = 116xdu= 716∫eu du  Exponential rule :  ∫ax dx = axln (a)…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dx 2

A: Given an indefinite integral

Q: Find the indefinite integral. (Use C for the constant of integration.) x - 2) dx

A: Given,          ∫x8ex9-2dx

Q: xp

A:

Q: Find dy/dx using logarithmic differentiation: y = [sin(x)]^ln(x)

A: Given that, y = [sin(x)]^ln(x)

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x5 dx 1 + x12

A:

Q: Find the most general antiderivative or indefinite integral. 8/x dx

A: We have to find the indefinite integral.