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Simplify 24ab^2 / 6b

To begin this question, it is first necessary to separate the different parts: the numbers, the as and the bs.The number division is simple. 24/6 = 46b has no values of a. Therefore, the a remains untouch...

Answered by Isabelle B. Maths tutor
3847 Views

Integrate ∫sin²xcosxdx

This indefinite integral (has no defined limits) should be evaluated by integration by substitution This is because you cannot integrate sin2xWhen doing integration by substitu...

Answered by Rachel K. Maths tutor
6898 Views

Integrate sec^2(x)tan(X)dx

This can be done with integration by substitution. If we let u=tanx then du/dx=sec^2(X). If we substitute U into the integrand we get it being u(sec^2(X))dx. rearranging the du/dx equation to make dx the ...

Answered by Amin Z. Maths tutor
19190 Views

Solve x^2=3(x-1)^2

To start with, we want to put this into quadratic form, where we have ax^2+bx+c=0. We notice that there are terms on both sides of the equation. So we can expand the right hand side and then bring all th...

Answered by Joshua U. Maths tutor
2651 Views

How do I work out the exact value of a number which is expressed as an indice, for example 81^-1/4

Firstly, recall the indice rules which are applicable to the question, for example in this question we can use the rules:(x^a)^b = x^abx^-1 = 1/xx^1/2 = square root xSecondly, apply these rules to break d...

Answered by Cameron H. Maths tutor
2686 Views

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