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Maths
A Level

Integrating cos^2(x)+5sin^2(x)

Firstly, note that cos^2(x)+5sin^2(x)= cos^2(x) +sin^2(x) +4sin^2(x).

By trignoemtric identies, cos^2(x)+sin^2(x)=1 and so we can just integrate 1+4sin^2(x) since this is equal to cos^2(x...

Answered by Rafe L. Maths tutor
7758 Views

Find the all the angles of a triangle with side lengths of 8cm, 11cm and 11cm.

Using the knowledge of a2 = b2 + c2 - 2bcCos(A)

Rearrange to aquire Cos(A) = (b2 + c2 - a2)/2bc

Then input ...

Answered by Alexander J. Maths tutor
4882 Views

Differentiate with respect to x: 4(x^3) + 2x

d/dx(4x3 + 2x) =  d/dx (4x3) + d/dx(2x)

                       = 4(3x2) + x

                       = 12x2 + x

Answered by Alexander J. Maths tutor
4591 Views

How do I add up the integers from 1 to 1000 without going insane?

Suppose you are asked by your teacher to sum all the integers from 1 up to 1000. You might be thinking they must hold some kind of grudge against you. If you try to calculate the sum by adding on each ...

Answered by Matthew B. Maths tutor
4751 Views

Differentiate y=(4x - 5)^5 by using the chain rule.

Notation: I use the ^ in the title question to indicated 'to the power of' and I use an asterisk * (or star) to indicate 'multiplied by' in the answer, to avoid confusion with the x term! 

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Answered by Joseph E. Maths tutor
11914 Views

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