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so this video contains four integrals each of these integrals may be calculated using a trigonometric change of variables and that is because of factors such as this square root here what i suggest you do is that you write the integrals down on paper try to calculate them and then on the next slide i will write down the answers and if you have not calculated any of them correctly or are stuck in any of them you can look later at the video scroll through to the relevant bit and see what you needed to still master so with that i think you should write them down pause and try and calculate them so welcome back and here are the four results this integral is a half x times the square root of one minus x squared plus the arc sine of x thatamp;#39;s something which you can check is true by differentiating this side this definite integral has a value of half and we would expect a positive result because the integrand one over two minus x squared to the three halves is positive and this integr
