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The element carbon can exist as a few different "isotopes" - all this means is that the number of neutrons in the nucleus can vary to give atoms that behave the same way chemically so are still ...

Step 1:Replace any obvious in the integral with the substitution u=x+2 ∫_(-1)^1 3/√u dx

Step 2: Differentiate the substitution u=x+2 to find an expression for dx (to differentiate multiply by the p...

You should always begin your Critical Essay with an introduction. This should refer to the question in your own words and prepare the reader for the argument that you are going to make in the following pa...

A national minimum wage sets the minimum hourly wage rate that is acceptable by law. It is needed for a variety of reasons.

It has several advantages including reducing poverty and reducing gap bet...

First, we use the trig identities: cos2x=cos^2x-sin^2x, cos^2x+sin^2x=1 and sin2x=2sinxcosx to transform the integral to ∫(cos2x)/(1+sin2x)dx.
We know that ∫f'(x)/f(x)dx = ln|f(x)|+c, so we let f(x)=...