Mathematics

Mathematics

Problem

∫32x3(log⁡x)2 dx\int 32x^3 (\log x)^2\,dx is equal to (a) x4{8(log⁡x)2−4(log⁡x)+1}+cx^4\{8(\log x)^2 - 4(\log x) + 1\} + c (b) x3{(log⁡x)2+2log⁡x}+cx^3\{(\log x)^2 + 2\log x\} + c (c) x4{8(log⁡x)2−4(log⁡x)}+cx^4\{8(\log x)^2 - 4(\log x)\} + c (d) 8x4(log⁡x)2+c8x^4(\log x)^2 + c (a) x4{8(log⁡x)2−4(log⁡x)+1}+cx^4\{8(\log x)^2 - 4(\log x) + 1\} + c (b) x3{(log⁡x)2+2log⁡x}+cx^3\{(\log x)^2 + 2\log x\} + c (c) x4{8(log⁡x)2−4(log⁡x)}+cx^4\{8(\log x)^2 - 4(\log x)\} + c (d) 8x4(log⁡x)2+c8x^4(\log x)^2 + c

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