ll Pure Talk 12:55 PM 90% s3.us-east-1.amazonaws.com 3 of 4 5) Find the average value of f (x) = 9 – x² on [-3,3] (10 pts) 6) Evaluate the following integrals (10 pts each) (х2 + 4Vx x3 6)dx Зx3 — 4 dx

Q: 2) Sxsec²(4x² – 5) dx. 3) S3x Vī– 2x² dx .

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Q: 1 Evaluate I = dx x²V9+ 4x²

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Q: S dx 2 (1+x²)²

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Q: 2.1 Evaluate f xvx +5dx (10 marks)

A: Given that   xx+5 dx Substitute u=x+5 →dudx=1  and x=u-5 ∫xx+5 dx=∫u-5 u du…

Q: Find f. f'(x) = 1 + 3/x, f(4) = 28 х, %3D

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Q: 2. Integrate the following: /(x (x² + 7)*)dx a. 8x(x³ + 7)³(3x²) + c x³ ((x³ + 7)° + c 5 b. 3 (x³ +…

A: It is given that, ∫x2(x3+7)4dx   Here this integral can be solve by using substitution method.…

Q: Find the given derivative 6 Dx 7x 1 Dx 7x 5 LN +

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Q: dx X1メエ16 12

A: Given integral, ∫12x2 x2+16 dx

Q: S 1 dx (2x - 3)²

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Q: 1/3 + 4y/6 = 2/3 Show your work

A: The given equation is 13+4y6=23To solve for the value of y