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integration by parts: x^-2lnx

u=lnx du/dx = 1/x dv/dx=x^-2 v= -1/x =uv - (integral of)vdu/dx (-lnx)/x + integral of x^-2 =(-lnx)/x - 1/x +c
FS
Answered by Fraser S. • Maths tutor
6129 Views

If a right angled-triangle has sides A,B,C where A = 4 and B = 3 what is the value of side C?

This problem can be solved using Pythagoras Theorem equation: A 2 + B 2 = C 2 (see diagram for explanation) Substitute the numbers given in the question into this equation:(4) 2 + (3) 2 = C 2 Expand out the ...
GW
Answered by Gina W. • Maths tutor
3737 Views

how do ratios work

ratios are just fractions not written in fraction form, for example 8:9 ratio just means the first value is 8/(8+9) and the second value is 9/(8+9)if a question says that in a ratio of green apples to red ap...
MS
Answered by Minahil S. • Maths tutor
3761 Views

Solve this equation: x²-x-6=0

This equation can be solved by factorisation. Start off with brackets : (x )(x ) =0. We need two numbers that multiply to give 6 and add/subtract to give 1. Start off with 1 and 6. They multiply to give 6 bu...
ED
Answered by Eadaoin D. • Maths tutor
3803 Views

The perimeter of a right-angled triangle is 60cm. The lengths of its sides are in the ratio 3:4:5. Work out the area of the triangle.

Draw out a diagram of a right angled triangle. As the lengths of the sides of the triangle are in the ratio 3:4:5, start off by saying each side is 3cm (a), 4cm (b) and 5cm (c) respectively, with 5cm being t...
ED
Answered by Eadaoin D. • Maths tutor
6526 Views