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Find the integral of ln(x)

To solve this, we must use integration by parts as we can’t solve it directly. The formula for integration by parts is integral(U dV)=U V-integral(V*dU). The trick with this is to set dV=1 and to set U=ln(x)...
MR
Answered by Matilda R. • Maths tutor
6061 Views

Tim stretches by leaning against a pole that is 1.5 metres tall and at a right angle to the floor. Tim is standing 0.5 metres away from the pole, how tall is Tim; leaving your answer in terms of metres? (2.d.p)

This can be solved using Pythagoras. We know that the pole is 90 degrees to the floor so the height of the pole is the opposite side. The distance between Tim and the pole is therefore the adjacent and hence...
MS
Answered by Morgan S. • Maths tutor
3802 Views

5x – 6 = 3x + 7

whenever you move a term across the equals sign, the sign changes. So first we are going to move all of the x terms onto the left side and all of the number terms onto the right side, remembering that if we ...
RC
Answered by Rebekah C. • Maths tutor
5574 Views

Solve 2sec^2(x) = 3 + tan(x) for 0 < x <pi/2

Make use of identity sech^2(x) = tan^2(x) + 1 =&gt; 2{tan^2(x) + 1} = 3 + tan(x) Multiply out brackets and rearrange =&gt; 2tan^2(x) - tan(x) - 1 = 0 Use quadratic formula with a = 2, b = -1, c = -1 =&gt; ta...
RM
Answered by Robert M. • Maths tutor
9097 Views

How do I revise for my Maths GCSE exam?

Firstly, ensure that you have all of the notes from class (or from tutoring sessions) from throughout the year. If you do not have all of the topics that are covered in the exam in your book, then you need t...
NB
Answered by Nathan B. • Maths tutor
4733 Views