Evaluate the following integral using Partial Fractions Method: x3 + x2 dx x2 + x – 2 y :

Q: Use long division to verify that y1 = y2.

A: To use the long division, write the missed terms of the dividend with zero coefficients. Divide the…

Q: Evaluate (x² + y²) dxdy

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Q: A 2x-In Ixl+C B 2x4 In Ixl+C 5*²=4 dx x D HIN x² - In Ixl+C x² - 4 In 1x1+C

A: topic- indefinite integral ∫xndx=xn+1n+1+C∫1xdx=lnx+C

Q: Differentiate y = xV A. 2Vx (2+In x) В. (2+In x) VX C. 2vx 2V (2 – In x) | D. 2V (2 + In x)

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Q: X2 dx ex+3

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Q: Express each fraction in its simplest form. y3 + 2y (a) 2у — у2 5x² + 5 (b) 10х — 10 5.

A:

Q: Find yll if x²+4y²=7

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Q: Evaluate 3 (9x² – 2x + 1)dx 1

A: Given:∫13 9x2-2x+1 dxIntegrating formula:∫xn dx=xn+1+C

Q: a) [(5x4 + 3x² + 2x + 4)dx b) [(Vx² + 7x)dx

A:

Q: 6х3 + х2— 5х —7 –dx. Use Зx2 —х — 2

A: