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Integral between 0 and pi/2 of cos(x)sin^2(x)

The key point in here is noticing that the derivative of sin(x) is cos(x). That way, if we rename sin(x) as u , i.e u:=sin(x), the derivative will be du=cos(x)dx. So, inside the integral, instead of having c...
ML
Answered by Maria L. • Maths tutor
6504 Views

What is the derivative with respect to x of the function f(x)=1+x^3+ln(x), x>0 ?

Despite the hideous view, we can apply to this function the same methodology as all the other ones: break it down to pieces. What we mean is that we recognize three terms inside f(x): one is the number 1 alo...
ML
Answered by Maria L. • Maths tutor
3888 Views

What does Porphyritic mean ?

Porphyritic is commonly applied to igneous rocks and relates to their bi-modal grain size distribution; meaning 2 main grain sizes usually one larger than the other. The occurrence of this is down to the dif...
MH
Answered by Michael H. • Geology tutor
3115 Views

What are the advantages and disadvantages of the FPTP (First Past The Post) voting system?

FPTP voting system is a single-member constituency, plurality system used in British Parliamentary elections to elect representatives (MPs) to the House of Commons.It has a number of advantages including: 1)...
JR
21913 Views

When do I use the perfect and imperfect tenses in German?

A common mistake amongst English natives when speaking German is the over-use of the imperfect tense (also called the preterite or the simple past tense). For example: "Ich aß einen Apfel", "I...
DS
Answered by Daniella S. • German tutor
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