dx 2- sin x

Q: sec² x dx V4 - sec² x

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Q: 10x + 8 Let f(x) = 3x2 + 17x + 20 This function has: (0) 1) Ay intercept at y= o 0.4 Invalid use of…

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Q: u(2uv2 — 3)du — (Зи202 — Зи + 4») do %3D 0 |

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Q: Solve only (d.) 3+ti 1. Evaluate I (2z 3) dz 1-2i Ans 17+191 a, directly b, along the path x=2t+1,…

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Q: Integration by Trigonometric Substitution. Show complete, correct and organized solutions.

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Q: 4. If f'(x) = 12x² + 6x −4, f(0) = 4 and f(1) = 1, find f(x) Ans f(x) = x² + x³ - 2x²-3x+4

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Q: 1. Find the equation of the curve having slope 2x-5 and passing through (5, 4). Ans. y = x² - 5x + 4

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Q: Vydy va-y Let y = asin²0 а-у

A: Given data are: ∫ydya-y, Let y=asin2θ Solve the above integration by substitution and find the…

Q: p(5y-4) dy y³+ 4y²

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Q: cos 0+sin 20d0 16-49 sin20

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Q: OSycosy y dy Sin COS (y 3(-cos(y)+ 3, ANSWER: 3 y sin (y) 3. хе dx ANSWER.: - c *…

A: Please see the answer below

Q: Integration of Trigo Functions. Show complete solutions.

A: Ratio of tany and secy gives siny

Q: 5. Find the volume of water in a swimming pool with vertical ends and sides. The length measured at…

A: As per our guidelines we are supposed to solve only one question i.e. the question no 5). For the…

Q: 4x 2+3x+2 x2(x+1)

A: Given,          ∫4x2+3x+2x2x+1dx

Q: If dy = (2x - 3) dx and y = 2 when x = 3, find the value of y when x=5. Ans. y = 12

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Q: 3x³+6x²+17x-5 dx x2+2x+5

A: First divide then calculate integration

Q: Va?-x²dx 1. S x2

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Q: (4+x)' 42%

A: 1)

Q: 15.f dx 1+cos x

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Q: ſ(2x+5)dx Use geometry to evaluate

A: Follow next step

Q: X X y = x² - 4x + 3 y y = |2x - 1| y Coord. Point Coord. Point

A: The table of values and the graphs are in next steps.

Q: 8 cos ax 1+x4 dx, (a ≥ 0).

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Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

A: Please find the attachment