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2^-8 = ?

=1/(2^8) = 1/256
Answered by • Maths tutor
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Integrate xsin(x) with respect to x

Apply the rule for integration for parts: Integral of udv = uv - integral of vdu. Choose u to be the term simplified the most when differentiated; in this case choose u to be x as the differential of x w.r.t...
MS
Answered by Michael S. • Maths tutor
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How do you integrate (2x)/(1+x^2) with respect to x?

The key here is to recognise that this is in the form f'(x)/f(x). We can use the idea that integration is the inverse of differentiation, and the knowledge that the derivative of ln(f(x)) is equal to f'(x)/f...
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How do I know which is the null hypothesis, and which is the alternative hypothesis?

Generally, the null hypothesis is the one we want to reject, and the alternative is the one we want to prove is true. For example, if we were testing whether growing in the Sun made a plant grow healthier, w...
TC
Answered by Tegan C. • Maths tutor
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Differentiate the following: y=(7x^2+2)sinx

Differentiate using the product rule.Product rule: for y=uv , where u and v are functions of x, dy/dx=vdu/dx + udv/dxy=(7x 2 +2)sinx so u=(7x 2 +2) and v=sinx . By differentiating these functions:du/dx=14x a...
ET
Answered by Eleanor T. • Maths tutor
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