Find the indefinite integral f14x In (7x)dx

Q: |x-4|dx

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Q: Evaluate the integral. 3. (In(x))² x3 dx 1

A: I am attaching image so that you understand each and every step.

Q: Evaluate the indefinite integral. (6x + 7 -dx x2 + 1

A: ∫6x+7x2+1dx

Q: Evaluate the integrals in ∫x2(x2) dx

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Q: Evaluate the integral 5/x^3 - 27 dx

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Q: Evaluate the indefinite integral. dx x2V49 + x2

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Q: Evaluate the integrals in ∫x(ln 2)-1 dx

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Q: Find the general indefinite integrals of: 2. S Vx2 + 2x dx

A: First add 1 and subtract 1 so that make it x+1. Whole squre then put x+1=t. Then use the formula and…

Q: Evaluate the indefinite integral ∫(3x2−6x+2cosx)dx.

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Q: (x³–4x) 1-x+

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

A: Consider the integral, ∫ dx/√(1 − 4x2) Let f(x) = 1/√(1-4x2) By using the trigonometric…

Q: evaluate the integral from 1 to 3 of 4/x^3 dx

A: Given: ∫134x3dx

Q: Consider the indefinite integral (4x³ + 5x² − 1x − 6 [420³ + x² - 1 dx

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Q: Evaluate the integral. In x3 dx 15)

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Q: Evaluate the integral. dx 4 - x3

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Q: Evaluate the indefinite integral: 3 dx J x In(5x)

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

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

Q: Evaluate the integrals ∫ x dx/9 - x2

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Q: Find the Indefinite Integral. dx 12-3x

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Q: Find the indefinite integral. (8x+9)dx%3=

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Q: Find the indefinite integral.

A: To find: The indefinite integral ∫dxxln x23. Concept used: Power rule of logarithmic: ln ab=b·ln a…

Q: Evaluate the integral

A: Given: I=∫xdxx2-7 for evaluating given integral, in given integral we substitute x2-7=t…

Q: Evaluate the integral∫ (4 /√(4 - x2)dx.

A: Let, I=∫44-x2dx Substitute x=2sint  gives dx=2cost dt…

Q: Evaluate the indefinite integral. -dx 1 – x8

A: We use the standard integration result ∫11-x2dx=sin-1x+C

Q: Evaluate : Integral from 0 to 2 : 2x^2 e^-2x dx

A: To determin the value of the definite integral.

Q: Evaluate the integral, if it exists.    ∫ (8 x3  +3x2) dx

A: Given- ∫8x3+3x2dx To evaluate- The above integral. Formula used- The power rule, ∫xndx=xn+1n+1+C,…

Q: Evaluate the integral 4х + 5 dx. 3 - x2

A: To find the integral

Q: Find the integral. In 8x dx

A: I=∫ ln 8xx dxln 8x =t18x(8) dx = dtdxx =dt

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

A: Let the given integral be y - y = ∫dx9-x2y = ∫dx32-x2Using integration formula - ∫dxa2-x2 =…

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

A:

Q: Find the integral of So 7x+2x² (x-4)(2x+3X2x+1) dx

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Q: Evaluate the integral. ( x³ In 4x dx

A: Given, ∫x3ln(4x)dx

Q: Evaluate the indefinite integral

A: Given:

Q: Evaluate the indefinite integral.

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Q: 24. dx AX

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Q: Find the integral [(3x² – x) In(3x)dx .

A: Given query is to solve the integral.

Q: Evaluate the definite integral using integration by parts.

A: Recall the following fact.

Q: 9 dx J x In(6x)

A:

Q: Evaluate the integral. (In(x))² x3 dx

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Q: Find the general indefinite integral. x* + 4x +1

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Q: | (3x² + 4x + 1) dx

A: The power rule of integral is,

Q: Consider the indefinite integral dx: + 8)°

A: Given,  ∫ x5x6+86dx

Q: calculate the indefinite integral.

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Q: dx /9 – x²

A: To evaluate the given integral: I=∫dx9-x2

Q: Evaluate the integral. x² + 25 dx of

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

A: The given indefinite integral is ∫8xln5xdx.

Q: Evaluate the integrals in ∫dx/1 + ex

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Q: x- dx /4x – x2

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Q: Evaluate the integral. In(9 x – 8) dx -

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

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