8. x cos 2x dx 0. klea

Q: Find the indefinite integral in two ways. Explain any difference in the forms of the answers.…

A: If mentioned: Since you have submitted two questions, we'll answer the first question. For the…

Q: (7x³ + 4x²)dx

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Q: Find the indefinite integral.

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Q: 1 6. (3x)3 +e2 + 2x2 dx

A: Evaluate: ∫13x3-32x2+e2+x2dx

Q: 7. Su° (4 + u°)°du

A: The objective of the question is evaluate the indefinite integral.

Q: x+4 dx Vx

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Q: state what method applies and how one applies it, but do not evaluate the integral:

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Q: Find the general indefinite integral. (Use C for the constant of integration.) 4 - 4u* – u? + 5

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Q: How would I find the indefinite integral?

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Q: (3x² + 1 +) dx 2х2

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Q: e2X dx V1+e2x

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Q: Evaluate the indefinite integral. 26 dx 7+2

A: The given integral is: ∫x6x7+2dx Let, x7=u Differentiate both sides of the above expression.…

Q: - 1)*dx

A: ∫02 (x-1)2dx ∫02 x2 -2x +1dx [x3/3 -x2 +x ]02 8/3 - 4+2 -0 8/3 -2 (8-6)/3 2/3

Q: Evaluate the definite integral. 1 Г хзе-ха dx 0 Need Help? PRENT

A: The given definite integral is ∫01x3e-x4dx. Evaluate the integral value. Here we use the integration…

Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 50 cos 50 do

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Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. | (2423 16х) dx |

A: Consider the given integral as

Q: Evaluate the indefinite integral. 17 dx 9 + x2 Give your answer in exact form. Use C as the constant…

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Q: (x² – 1)*dx

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Q: 6. S (1 + 3æ)*dx

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Q: Find the indefinite integral ∫ 1 / (9 − 4x2)   dx

A: ∫1a2-x2dx=12aloga+xa-x+C

Q: S x?(2x3 – 1)?dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 30 V cos 30 de

A: Given integral is ∫ sin33θcos3θdθ

Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. 36x – 8x)dz Please…

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Q: State the trigonometric substitution you would use to find the indefinite integral. Do not…

A: We have to write the trignometry substitution we have to use

Q: Determine the following indefinite integrals for a) and b). For a, please substitute u=8x3-7 to…

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Q: Find the indefinite integral ∫ 1 / (25 + 4x2) dx

A: ∫11+x2dx=tan-19x)+C

Q: Evaluate the integrals -dp- 5. / sin? cos x

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

Q: (-4 sec Xtanx-7sec K,

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Q: Give the corresponding indefinite integral. Show your complete solution. Answer must be handwritten.

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Q: 5 + 5x – 4) dx

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Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. (2423-4x) dx = [

A: Here we will solve the indefinite integral,

Q: V3 x csc(1 – x²) cos(1 – x²) dx 3 25.

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Q: 5. sin² 4y cos? 2y dy

A: Given: I=∫0π4sin2 4y cos2 2y dy  ……1

Q: 10dx =l 1-cos(2x)

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Q: Find the exact value of the integral using formulas from geor 5. (2+2x)dx 2. |(2 + 2x)dx = (Simplify…

A: Given: ∫25(2+2x)dx To find the exact value of the integral using geometry

Q: Use a table of integrals to find the indefinite integral ∫ θ3 /(1 + sin θ4) dθ

A: To Determine: use a table of integrals to find the indefinite integral Given: we have ∫x31+sinx4dx…

Q: Find the indefinite integral by using the substitution x = 6 tan(e). (Use C for the constant of…

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Q: S HENN -dx x4-4

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Q: 1. (х + 2)? dx х— 2

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Q: Find the indefinite integral. (Use C for the constant of integration.) 10 do cos(0) – 1 -

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Q: -4 + e" + dx | (cos(x) + sin(x))² dx |a? – 3x + 2| dx

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Q: S yArc cos ydy

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Q: S (3x – 2)° dx

A: To FInd : ∫3x-22dx

Q: 4. S Væ*dx

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Q: ( 3x+1 dx

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Q: Solve the following indefinite integral. Show complete solutions. Please make sure that your…

A: Solving the problem by finding the value of integration.

Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. 823 12x ) dzr =

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Q: Find the indefinite integral ∫ 1/(2x + 5) dx

A: Identity to be used - ∫dxax+b = lnax+ba+C

Q: 5t4 dt Vto +2

A:

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.