은log(2a)|=1 dx d =? O 1 O 2 O 1/2 O 4

Q: Find the indefinite integral ∫ ex(ex + 1)2 dx

A:

Q: e dx -5

A: Given : ∫-55edx

Q: Evaluate the integrals in Exercises

A: ∫-ln20cosh2x2dx∫0ln104sinh2x2dx

Q: Find

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Q: Ex Evaluote S 4e sinhx..dx

A:

Q: S. 3 44. dx x* + 4x + 29

A: The given integral is  ∫3x2+4x+29dx

Q: Find the indefinite integral ∫ e5x−3 dx

A:

Q: 1 (In x+1)x dy dx

A: Given integral is evaluated as follows

Q: Find the indefinite integral ∫ e5x (5) dx

A:

Q: Find the indefinite integral ∫ e2x/ (4 + e4x)   dx

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Q: Find the indefinite integral ∫ e−x4(−4x3) dx

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Q: 22. Evaluate So Si S dx dy dz.

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Q: 4. dx 4x. e+x-7

A: Solved below...

Q: Show that (In kx) dx (In x), where x > 0 and k is a positive dx real number.

A: ddxln kx=ddxln x, where x>0 & k is a positive real number.

Q: Evaluate the integral. 4 x - 3 dx X 1

A: Given:

Q: find integral by gamma function (xinx) dx O 2/132 O 3/123 O 3/132 6/128 otherwise O O O

A: The gamma function can be stated as follows.

Q: find dy dx 15 In 4+ xe) 6

A: dlnax+bdx = a.1ax+b.

Q: Evaluate (int) e^x cos^3 x dx

A:

Q: Find the indefinite integral. e2x dx 4+e4x

A:

Q: Find the indefinite integral. xx-6x+9 f ***) dx 3.

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Q: Find the indefinite integral

A: Explanation: Given that,  ∫e2x4+e4xdx   Substitute  e2x=ue2x(2)dx=due2xdx=du2 Now 12∫14+u2duNow put…

Q: Find the indefinite integral.

A: Consider the given: ∫ e-x4-4x3dx=∫ -4e-x4x3dx=-4·∫ e-x4x3dx

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

A: To determin the value of the definite integral.

Q: 16 Evaluate x*In 3x dx correct to three decimal places.

A: Given that, ∫12x2ln 3x To find- The value of the above integral. Concept Used- The above integral…

Q: Use x = e to explain why dx (In x) = = -, for x> 0.

A: To differentiate x=ey, with respect to x, use the exponential function rule, ddxef(x)=ef(x)ddxf(x).…

Q: Integral of e^(4x)sin(4x) dx

A:

Q: a) In(x+1)³ dx x+1

A: Given, ∫23ln(x+1)3x+1 dx

Q: dx ,n = 10 1+x?

A: This question can be solved by any of the approximation method of finding the value of definite…

Q: 0 ex [ 224²1 ex + 1 J-In 2 dx

A:

Q: Find the indefinite integral 3x2 dx et 2.

A: ∫ex-3x22 dx

Q: Integrate dx/(x+1)(x^2+16) from 0 to 1

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

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Q: What is wrong with this calculation? 1 dx In |x||, = In 1 - In 1 = 0 - 1

A: The integral of 1xwith respect to x is log(|x|). where x≠0, cause if it is zero then function became…

Q: 1 dx is finite -1 X Select one: True False

A: True

Q: Find de when y = In(1+ 5/æ) dx

A: The objective is to find derivative.

Q: 4. Evaluate the integral: In6 -2x + sinh 2x|dx e2x + e-2x

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Q: 2 Evaluate the integral: 3x(5-3x dx

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Q: Find dy/dx of 6x? – 4y² = 10 at (1, 2) 3/2 None of these 4/3 -3/4 -4/3

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

Q: Evalute the indefinite integral

A: To evaluate the integral.

Q: Find the indefinite integral. ∫(x4 + 3) dx

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Q: Evaluate the integral. 9. e dx -6

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Q: Evaluate L S dx dy. O 1 2/3 1/2 O 2

A:

Q: In (5x) dx 1 In (5x) dx = (Do not round until the final answer. Then ro

A:

Q: Find the indefinite integral -dx (2-x ²)? dx = 2-x)?

A: To find the indefinite integral:∫x2-x22dx

Q: 211 3- sin nx dx [1-cos2nx]dx 1t, where n integers.

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Q: -2 dx 0 (3+x)² 2

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Q: dy y(ln y – In a + 1) dx 1 C = -ln C = -In Option 4 O option 2 1 C =-In

A: This question is based on solution of differential equation.