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Sometimes while integrating, we may come across an expression that is not a polynomial, and thus we cannot use the convenient power rule to integrate. Consider the function y=xcos(x). It is not immedia...

So we want to differentiate y =  4x²ln(x) with respect to y. For this we need to use the product rule.

The product rule is D {f(x)g(x)} = f(x)g'(x) + g'(x)f(x)

We...

Skirts are common in both ratios.

Multiply both ratios by the factors such that skirts are represented by the same number

Dresses: skirts = 7: 4

Skirts: blouse...

∫ e^xcos x dx 

First of all, we have to think of which method we want to use to approach this problem. There are a few options we can consider such as integration by parts and su...

When asked to rationalise simple Surd (square roots that cannot be reduced to a whole number) fractions in the form a/√b we are aiming to remove the surd in the denominator (bottom).----------------------...