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Integrate ∫_(-1)^1 3/√(x+2) dx using the substitution u x+2

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 power and t...
MY
Answered by Micaela Y. • Maths tutor
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How should I structure my Critical Essay?

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 parag...
QG
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What kind of effect would a national minimum wage have, is it positive or negative ?

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 between rich ...
OO
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Show that the integral ∫(1-2 sin^2⁡x)/(1+2sinxcosx) dx = (1/2) ln2 between the limits π/4 and 0. [5 marks]

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)=1+sin2x....
AC
Answered by Abby C. • Maths tutor
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Define an exothermic reaction.

A reaction in which energy is released into the surroundings by the system.
BG
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