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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...

RK
Answered by Rachel K. Maths tutor
7192 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 ...

AZ
Answered by Amin Z. Maths tutor
20983 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...

JU
Answered by Joshua U. Maths tutor
2844 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...

CH
Answered by Cameron H. Maths tutor
2884 Views

Solve the simultaneous equations 4x + 5y = 13 and 3x - 2y = 27.

Using the elimination method to remove the variable x, we need both equations to have the same values of x. To do this we find the lowest common multiple of the x values: the lowest common multiple of 3 a...

CH
Answered by Christy H. Maths tutor
8041 Views

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