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How can you find the integral of x^-1

The traditional rule for integration of a variable raised to a power is to raise the power by 1 and divide the answer by that new exponent. However, this rule leads to an answer of x^0 = 1, which can't be ri...
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Answered by Angus L. • Maths tutor
79193 Views

Write 825 as a product of its prime factors.

Prime factors are numbers that can only be fully divided by itself and 1. For example, 2, 3 and 5 are prime numbers since they can only be divided by itself and 1. However, 6 is not a prime number because it...
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Answered by Ewan V. • Maths tutor
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Using factorization, solve x^2 + 10x + 24 = 0

To factorize the equation we need to find two numbers a and b such that a * b = 24 and a + b = 10 By closely looking at those, we find that 4 and 6 satisfy both conditions, as 6 + 4 = 10 and 6 * 4 = 24 The n...
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There are 200 students in Year 10. 110 are boys. There are 250 students in Year 11. 140 are boys. Which year has the greater proportion of boys?

Let P1 and P2 be the proportion of boys in each year. In order to compare them we should pur the two proportions into simple forms . P1 = ( Number of boys ) / ( Total number of students ) P1 = 110 / 200 and,...
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Expand and simplify the following equation 5a(4b - 3) - 2a(6 + b)

In order to simplify this equation, first we need to expand the two brackets . To expand 5a(4b - 3) we multiply 5a with each term inside the brackets. Therefore, we get 5a * 4b - 5a * 3 = 20ab - 15a Doing th...
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