Using the substitution u = (A) (B) C D 1+1 du [₁ -1/2 du [(u ¹/2 - u-1/2) d du (u - 1) / u-²1) x + 1 ¹/ -1/2 du I x+1 da is equivalent to

Q: -3æ + 5x – 2)- 2 (a – 2æ – 1) | f the expression above is rewritten in the form ae' + bæ + c, where…

A: Given: (-3x2+5x-2)-2(x2-2x-1)

Q: Calculate Answer: J[₂ ye -xy dA, where R = [0, 7] × [0, 6].

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Q: Evaluate √2 4 √1-x² dx.

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Q: The expression r = 3 Co = x²y³zt where: x -4y626 (xy) 42-1 8 = " and t =

A: Please see the below picture for detailed solution.

Q: da Use a trig substitution to evaluate x2 V9- x

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Q: b) (9x²-6x+26) *

A:

Q: Evaluate: 1 dx 2(х — 1)? 1 О а. + C 2(х-1) O b. * + C 1 2х + C 1 d. + C 2(х-1)

A: The integration of the integral is 1/[2(x-1)2].

Q: For the planer curve represented by the parametric equations x = 3t and y=t² + 5, what is the…

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Q: Simplify: а) (4 — 3) + (6 + 25) e) (5 – 3i) – (-8+ 7i) f) (4 – 2i) (3 – 5i)

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Q: - A) -16x-5-x-2/3 C) 3 4) Find: d 4 dx x4 5 -4/3 B) ਪ੍ਰੈਲ-5-1582/3 D) - 1 5-2/3 433 3

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Q: simplify A. f(-2) B. f (h+3) Let f (x) = 3x² - 4x, find and

A: Find and simplify the given function value .

Q: 6. Use a change of variables to evaluate | 23e2x4+7 dr.

A: Solution is given below..

Q: (1 +i)(13 – 4i)(1 - i)

A: We have to simplify the given expression: 1+i13-4i1-i We know that a+ba-b=a2-b2i=-1i2=-1 Where, i is…

Q: Prove that

A:

Q: Express −i+j in the form [a,b]

A: Simplification