Set up an integral for the length of the curve. y=√₁-x²₁ - sxs ² 1/4 -1/4 5-4x4 4(1-x4) 1/4 -1/4 dx 1/4 1₁/41 4(1-x4) 1/4 4+16x6 4-4x4+16x6 dx 4-4x4+4x3 4(1-x4) dx dx

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A: Given: ∫(x+1)x2(x-1)dx Simplify by partial fraction decomposition.…

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A:

Q: Find the integral

A: Integrate∫3xx−2dx

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A: Answer

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A:

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A: Here we have to calculate I=∫ln22x+1(2x+1)dx

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A: The definite integral is given as .The aim is to express this form in exact form.Concept used :Apply…

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A:

Q: 10. Find the length of the curve y = x/2 + 8 on the interval [0, 2]

A:

Q: Create a 3-D plot of the function sin(/x² + y²) Vx² + y² for -8 <x5 8 and –8 < x < 8.

A: Note: Here, we are considering -8 ≤ x ≤ 8 and -8 ≤ y ≤ 8 rather than -8 ≤ x ≤ 8 and -8 ≤ x ≤ 8. We…

Q: 4x2+6x+1 dx (x+3)(x²+2x+2)

A: =?

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A: Thank you 😊

Q: YOUR TURN 6 Find xV3 + x dx form Sub In be 1. 2.

A:

Q: 1 Evaluate : dx. (1+x)Vx -x X-X

A:

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A:

Q: Differentiate w.r.to "x" y = xsin-1x +x/(1-x3)

A:

Q: dx 4x2 + 9

A: Use substitution.

Q: Find the length of the curve y = 4 1 between x 1 to x 2. %3D &x2

A: It is length of curve.