CBSE

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

∫x2−8x+7 dx=\int \sqrt{x^2-8x+7}\,dx = (a) 12(x−4)x2−8x+7+9log⁡[x−4+x2−8x+7]+c\frac{1}{2}(x-4)\sqrt{x^2-8x+7}+9\log\big[x-4+\sqrt{x^2-8x+7}\big]+c (b) 12(x−4)x2−8x+7−32 log⁡[x−4+x2−8x+7]+c\frac{1}{2}(x-4)\sqrt{x^2-8x+7}-3\sqrt{2}\,\log\big[x-4+\sqrt{x^2-8x+7}\big]+c (c) 12(x−4)x2−8x+7−92log⁡[x−4+x2−8x+7]+c\frac{1}{2}(x-4)\sqrt{x^2-8x+7}-\frac{9}{2}\log\big[x-4+\sqrt{x^2-8x+7}\big]+c (d) None of these

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