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Maths

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Compute the integral of f(x)=x^3/x^4+1

A basic function of integration states that: for a function f(x), the integral of f'(x)/f(x) = ln[f(x)] (the natural log of the modulus of f(x)). Take the denominator of f(x), x⁴+1. We will ref...

Answered by Tyla D. • Maths tutor

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A curve has parametric equations x = 1 - cos(t), y = sin(t)sin(2t) for 0 <= t <= pi. Find the coordinates where the curve meets the x-axis.

If the curve is meeting the x-axis, notice that this means y = 0. So we must solve sin(t)sin(2t) = 0 for t within the given bounds. Using a trigonometric identity sin(2t) = 2cos(t)sin(t), we obtain sin

Answered by Callum B. • Maths tutor

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Why can't you divide something by 0?

Let's go back to the definition of division: If we have a number o apples a and b persons to share them with, we can say that each person gets a/b apples. Example: 4 apples and 2 p...

Answered by Andreea-Lorena M. • Maths tutor

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