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Integral of sin^2(x) with respect to x

It is impossible to dirctly integrate sin^2(x) so we must transform it into something that can be integrated. Trigonometry can be used to do this. Recall the identity cos(2x) = cos^2(x) - sin^2(x) and cos^(x...
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Answered by Orlando F. • Maths tutor
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Given that y=sin2x(3x-1)^4, find dy/dx

This is an example of the product rule. In this, y=uv and dy/dx = u(dv/dx) + v(du/dx) u = sin2x so du/dx = 2 * cos2x = 2cos2x v = (3x-1) 4 so dv/dx = 4 * 3 * (3x-1) 3 = 12(3x-1) 3 Therefore dy/dx = sin2x * 1...
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Answered by Chisom U. • Maths tutor
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Determine the integral: ∫x^(3/4)dx

I = (4/7)X^(7/4) +C
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Answered by Rifat M. • Maths tutor
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How do I express complicated logs as single logarithms?

The process of transforming a complicated log to a single logarithm depends on the question. However, there are some basic rules and methods that are commonly involved. Here is an example: Example Express 2l...
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Answered by Keeley L. • Maths tutor
12617 Views

How can you remember what sin(x) and cos(x) differentiate or integrate to?

Calculus processes concering sin(x) and cos(x) can be imagined like turning a wheel (insert diagram here, would show in tutorial). Turning the wheel clockwise is the process of differentiating, turning the w...
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Answered by Sam T. • Maths tutor
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