If , then one of the most proper substitutions to evaluate…

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

Problem

If I=∫dxx−9x2+4x+6I=\int\frac{dx}{x-\sqrt{9x^2+4x+6}}, then one of the most proper substitutions to evaluate II is: (1) 9x2+4x+6=u±3x\sqrt{9x^2+4x+6}=u\pm3x (2) 9x2+4x+6=3u±x\sqrt{9x^2+4x+6}=3u\pm x (3) x=1tx=\frac{1}{t} (4) 9x2+4x+6=1t9x^2+4x+6=\frac{1}{t}

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