Calculus Integrals Quiz

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Question #7-1 Paper 1 Difficulty: Medium

Let $latex f(x)=3\,sin\,(4x+1)$.

Find $latex \int_{}^{}f(x)\,dx$.

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Question #7-2 Paper 2 Difficulty: Medium

Given that $latex \int_{1}^{a}\frac{3}{x}\,dx=3\,ln\,4$,

a) find the value of a.

b) find the volume of the solid formed if $latex f(x)=\frac{3}{x}$ is revolved $latex 360^{o}$ about the x-axis, from $latex x=1$ to $latex x=a$

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Question #7-3 Paper 1 Difficulty: Easy

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Question #7-4 Paper 1 Difficulty: Medium

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Question #7-5 Paper 1 Difficulty: Hard

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Question #7-6 Paper 1 Difficulty: Hard

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Question #7-7 Paper 1 Difficulty: Hard

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Question #7-8 Paper 1 Difficulty: Easy

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Question #7-9 Paper 1 Difficulty: Hard

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Question #7-10 Paper 2 Difficulty: Hard

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