# Calculus Integrals Quiz

## Make sure to try these on a piece of paper first

Question #7-1 Paper 1 Difficulty:Medium Let $f(x)=3\,sin\,(4x+1)$.

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

Question #7-2 Paper 2 Difficulty:Medium

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

a) find the value of a.

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

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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(but keep in mind that at least the first question of each topic is free!)

Question #7-8 Paper 1 Difficulty:Easy

This question is part of theMath SL Online Revision Course
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Question #7-9 Paper 1 Difficulty:Hard

This question is part of theMath SL Online Revision Course
(but keep in mind that at least the first question of each topic is free!)

Question #7-10 Paper 2 Difficulty:Hard

This question is part of theMath SL Online Revision Course
(but keep in mind that at least the first question of each topic is free!)