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निम्न फलनों का समाकलन कीजिए - `x cos^(-1)x` |
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Answer» Correct Answer - `1/4[(2x^2-1)cos^(-1)x-xsqrt((1-x^2))]` `intx cos^(-1)x dx =cos^(-1)x int x dx -int x dx -int[d/(dx)(cos^(-1)x)intx dx }dx` `=cos^(-1)x . x^2/2-int(-1)/sqrt(1-x^2).x^2/2 dx` `=cos^(-1)x x^2/2+1/2intx^2/sqrt(1-x^2)dx` |
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