In x 了dx 7.

Q: (In(x))? x3 dx /1

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Q: In x dx

A: Solution:  Step_1  :       ∫ln x dx we will solve it by using integration by parts method.

Q: In (メ+リ1+x2 dx

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Q: 3 sla? – x²) % dx

A: Given ∫ (a2- x2)32 dx Perform trignometric substitution x= aSin (μ) →υ= arcsin (xa), dx= acos (μ)…

Q: d {in(1 — а? + а°)} dx

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 19. csc (x) dx

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Q: In +1 dx

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Q: In (x²) dx e²

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Q: Evaluate the integrals

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Q: х In 3x dx

A: Given:

Q: dx 34) [ х-In x

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Q: 1/x dx 3?

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Q: | (In x)° dx 12.

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Q: x2"(1 + In x) dx 2lax -dx 33. 34.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1 (е) -dx 2х — 3 а? — 4 |

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Q: (a) S x2 (In a) dx.

A: Consider  I=∫x2ln x2dx

Q: 7- dx L₁EV xV1 + (In x)²

A: Here we will use the substitution method

Q: | (3 + xx) dx

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Q: S [ In x°dx

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Q: 7. Se* (1 + 2e*)* dx

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Q: Evaluate d/dx { In√(x+1)}

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Q: 1 (a) dx + 25x2 4 -

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: In (5x) dx =.

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Q: In x dx= ? 5)

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Q: (In x)² dx 3r

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Q: S,(3x + a)dx = 10 , then a =

A: Given: ∫123x2+adx=10 As we know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And ∫a·fxdx=a·∫fxdx;…

Q: |(181? +t+2) dt dx 8.

A: Given expression is

Q: In(x²) dx 1

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Q: dx 9-3

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Q: 10 x) dx is

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Q: dx x (In² x – 6 In x + 10) -

A: The Answer is:      Result = arctan ( ln x - 3 ) + C

Q: | In(x + 4) dx

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Q: (In(æ)) -dx; 1

A: I=∫1eln(x)4xdx Now substitute:   ln(x)=t

Q: dx a) S 19-x²

A: "Since you have asked multiple question, as per our guidelines we will solve the first question for…

Q: 25 In (x) X dx

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Q: 30 en (6ox+ 3o)dx 2.

A: Note: As per bartleby instruction when more than one question is given only one has to be answered.…

Q: (In x)2 23. dx

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Q: g. S In(4x + 1) dx

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Q: In(x) dx 4

A: we know that, intergration of ln(x) = xln(x)-x Also d/dx (ln(x)) = 1/x integration of 1/x = lnx

Q: Kindly sotve por : Dx (In | v | ) = Dx ((tan (3x) - In | 2x| + ( x³ - In | e|) - In | Inx | )

A: On differentiating Lhs: ddx(ln y)=1y.dydx on differentiating Rhs: ddx( tan(3x).ln|2x| +…

Q: In(9x + 8) dx

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Q: In e* dx Evaluate 25+4x4

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Q: (3+ In x) dx Se X

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Q: (a) dx ((In(x – 1))")

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Q: х^ (In x) dx

A: This question is taken from the indefinite integral in which we have to find the integral of the…

Q: -5х? —16х + 28 dx te x' -4x

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Q: . In(3x) dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…