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What is integration?

Integration can be viewed in many ways. The most common way to interpret an integral is to take the area under the curve you would like to integrate. For example Draw y=x, limit between 0 and 1, shade in the...
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Answered by Mikhail S. • Maths tutor
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Solve: x^2 + y^2 = 25 y - 3x = 13

Equation 1) x 2 + y 2 = 25 Equation 2) y - 3x = 13 First you need to substitute a variable so there is only one unknown in the equation: 2) y = 13 + 3x Substituting this into equation 1) gives: x 2 + (13 + 3...
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Answered by Lucy W. • Maths tutor
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integrate cos^2(2x)sin^3(2x) dx

To integrate this we need to use the chain rule, substituting cos2x = u Integral becomes: u 2 sin 3 2x dxChain rule: dy/dx = du/dx dy/du du/dx = -2sin2x --> dx = -1/2sin2x du Substituting into the equatio...
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Answered by Lucy W. • Maths tutor
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Expand and simplify: (5w-6)(2w+7)

So first you need to multiply out the brackets so you can simplify the equation. Remember the acronym FOIL: First, Outer, Inner, Last.10w^2 + 35w - 12w - 42 And then you need to simplify 10w^2 + 23w - 42
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Answered by Emma C. • Maths tutor
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Edexcel 2017, Q8) A square, with sides of length x cm, is inside a circle. Each vertex of the square is on the circumference of the circle. The area of the circle is 49cm. Work out x.

First we should draw what the question tells us. Draws circle with square inside it We want to find out some extra information about the circle based on what we have been told. How can we do this?Well we kno...
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Answered by Alex B. • Maths tutor
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