b) Evaluate the integrals using Part 1 of the Fundamental Theorem of Calculus. 2. L, 4x(1 – x²)dx ii) f(x+ i) Sin?x

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Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 4x(1 – x² )dx = i

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Q: 5. Calculate the double integral f, sin(2x) cos(3y) dA , R = [0, 1/2] x [0, 1]

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Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 5 4x(1 – x² )dx = i

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Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. | 4x(1 – x² )dx = i -1

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Q: Use the fundamental theorem of calculus part 2 to evaluate the 3 integral: (8 sin x) dx. Noto: Round…

A: Our Aim is to evaluate the integral given below:-∫π/4π/3 (8 sin x) dx -(i) using Fundamental Theorem…

Q: 2. Evaluate the Integrals using the Fundamental Theorem of Calculus. 1. S/4 cos x dx π/4 2. ¹₁ sec²…

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Q: 7) Evaluate the integrals a) 3(x + 1)²dx b) secx (tanx +cosx )dx

A: An indefinite integral, also known as antiderivative, is a function F(x)=∫f(x)dx such that…

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Q: b) Evaluate the integrals using Part 1 of the Fundamental Theorem of Calculus. 2 i) S 4x(1 – x³)dx…

A: (i). ∫-124x1-x2dx The antiderivative of 4x1-x2 or 4x-4x3 is 2x2-x4 Therefore,…

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Q: Use the Fundamental Theorem of Calculus to evaluate the integral: 5/4 sin x dx. Jπ/2 C. A. - B. D.…

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A: Topic:- integration

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Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 3 | 4x(1 – x² )dx = -1 i…

A: Given that: ∫-134x(1-x2)dx

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Q: Q3. Find integral of ( by using Rectangular rule): -38 L Sin(x) In(x + 2) dx , n = 7 24

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Q: 3. Use the Fundamental Theorem of Calculus Part 2 to evaluate the integral, or state why the…

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Q: 2. Use the definition of integral to evaluate the integral (x³ + 1)dx. (hint: [ S(x)dx = lim Ës(x,…

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Q: 39. Use a software application to compute the integrals у — х dx dy (x + y)³ у — х dy dx Jo (x + y)³…

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Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 4 4x(1 – x²)dx = i -1

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Q: Use the property to estimate the best possible bounds of the integral. II 4 sin*(x + y) dA, Tis the…

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Q: (10x – 3x + 1)dx

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Q: Which one of the following double integrals is equivalent to the integral 2x-x2 Vx2 + y2 dy dx? 0.…

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Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: Here given I=∫012dx1-x2 Since ∫dx1-x2=sin-1x+C

Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 5 | 4x(1 – x² )dx = -1 i

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Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 4 | 4x(1 – x*)dx = i -1

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Q: 9. Evaluate the integrals. dx dx b. Siya Jã(1+x) 1/3

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Q: A. B. Evaluate the following integrals using substitution method: (³-1) ²/3 √2 5.² 0 √r sin (1 + x²)…

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Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 2 | 4x(1 – x² )dx = i -1

A: Given,    ∫-124x(1-x2)dx