_ ^ 3 x^3 - 2 x x dx = - Vidyadip

MCQ

$\int_{}^{} {\frac{{3{x^3} - 2\sqrt x }}{x}} dx = $

A
${x^3} - \sqrt x + c$
B
${x^3} + \sqrt x + c$
C
${x^3} - 2\sqrt x + c$
✓
${x^3} - 4\sqrt x + c$

✓

Answer

Correct option: D.

${x^3} - 4\sqrt x + c$

d
(d) $\int_{}^{} {\frac{{3{x^3} - 2\sqrt x }}{x}\,dx} = \int_{}^{} {3{x^2}dx} - 2\int_{}^{} {{x^{ - 1/2}}dx} = {x^3} - 4\sqrt x + c$.

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