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Integrate with respect to x: i) sin^(2)...

Integrate with respect to x: i) `sin^(2)x` ,

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i) `=1/2cosx^(2)+C`, ii) `1/2ln|x^(2)+1|+C`, iii) `-1/10cos5x+1/2cosx+C` , iv) `ln|e^(x)+x|+C` , v) `ln|x+cosx|+C`, vi) `1/2ln|e^(2x)-2|+C`, viii) `ln|ln(secx+tanx)|+C`
ix) `2/3(x+2)^(3//2)-4(x+2)^(1//2)+C` xi) `1/3e^(3x)+e^(2x)+e^(x)+C`, xii) `-1/5ln|1+1/x^(5)|+C`
xiii) `-1/4(1+1/x^(5))^(4//5)+C`
xiv) `(x^(2)-8)^(3//2)/(24 x^(3))-+C`
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