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Make sure integral is in terms of sines and cosines onlyFactor out sine of numerator and make fraction in terms of cosineSubstitution y=cos(x)Fractions decompositionAnother 2 substitutionsSolve

A simultaneous equation is calculated to find the pair of co-ordinates where two straight lines cross on a graph, so the question you've probably been asked is to 'solve' a pair of linear equations. This ...

4log2 (3) + 2log2(5)= log2 (3)^4 + log2 (5)^2= log2 (3^4x5^2)=log2(81x25)=log2(2025)
The solution will be explained with the formula for- loga(x) +loga(y)=loga(xy)





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a^m+n

let u = sin(x) and v = cos(x) => z = u/v. The quoitent rule is (u'v - v'u)/v^2, where u' = du/dx, v' = dv/dx. In this case du/dx = cos(x) and dv/dx = -sin(x) => u'v = cos^2(x) and v'u = -sin^2(x) =&...