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integrate 6x^2

To integrate we increase the power by one, then divide by the new power.
Therefore the power (^2) increases to (^3), and the 6 is divided by the new power (^3), making the first number a 2.
2x^3...

Answered by Lewis M. • Maths tutor

9829 Views

Express [1+4(square root)7] /[ 5+ 2(square root)7] in the form m + n (square root)7 , where m and n are integers.

Using a whiteboard would help greatly with this question so that the steps can be seen clearly.1) Multiply both the numerator and the denominator by 5 - 2(square root)7 2) FOIL the top half of the equatio...

Answered by Ella W. • Maths tutor

6821 Views

Solve 5x/(2x+1) - 3/(x+1) = 1

This is an algebraic fractional equation. Dealing with algebraic equations and adding/subtracting fractions is not too bad, so we'll need to think about both when looking at this questions.1) Firstly, we ...

Answered by Jacob G. • Maths tutor

7094 Views

Sketch the graphs of y = f(x), y = g(x) and find the point(s) where f and g intersect.

f and g can be any linear, quadratic or cubic equation in terms of x, with exponential functions, logarithmic functions and modulus functions etc. May also be given a specific domain given. Sketch first, ...

Answered by Tommy P. • Maths tutor

3417 Views

Find the sum of the first n odd numbers, 1+ 3 + … + 2n-1, in terms of n. What might a mathematician’s thought process be?

[Answer for a Further Maths A level student]: We could just apply the formula for summing an arithmetic series, but this won’t give a good understanding of why the answer we get is correct, which...

Answered by Amlan B. • Maths tutor

3583 Views