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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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A line has equation y = 3x + 4, write down the gradient of the line.

gradient = 3
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Answered by Rifat M. • 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 to convert a recurring decimal into fraction

Fristly we need to define recurring decimal as a rational number that does not terminate. Example 1, 0.444444444... Example 2, 0.123123123... A fraction is a number in which the numerator is divided by the d...
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Answered by Bernice L. • Maths tutor
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