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Integrate the following fraction w.r.t. x: (sqrt(x^2 + 1)-sqrt(x^2 - 1))/(sqrt(x^4 - 1))

Notice the denominator can be factorised as the difference of two squares. The fraction can then be simplified by cancellation. The resulting fraction(s) can then be solved using the list of integrals in you...
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Answered by Tutor80072 D. Maths tutor
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How does not completing a course of antibiotics lead to increased immunity within a population of bacteria?

As you take the antibiotics, it begins to kill bacteria causing infection within your body, however not all bacteria are created equal, and some are more resilient to the antibiotics than others. Naturally, ...
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Answered by Rob I. Biology tutor
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Example

Example
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Factorise 7x +14

7(x + 2)
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Answered by Ajay M. Maths tutor
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If a body is projected from the ground at the angle of 30 degrees to the horizontal with the initial velocity of 20 m/s, what maximum height and range is it going to reach?

It is possible to solve this using equations for projectile motion that can be found in the majority of formula booklets. However, since they are not always available, it is good to understand where they com...
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Answered by Tomasz H. Physics tutor
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