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Grade 12Integral Calculus

evaluate
∫ (5(x)^4 +12(x)^3 +7(x)^2)/x^2 + x dx

taniska

11 Years agoGrade 12

1 Answer

Jitender Singh

11 Years ago

Ans:
Hello Student,
Please find answer to your question

$I = \int \frac{5x^4+12x^3+7x^2}{x^2+x}dx$
$I = \int\frac{x^{2}}{x}. \frac{5x^2+12x+7}{x+1}dx$
$I = \int(x) \frac{5x^2+12x+7}{x+1}dx$
$I = \int(x) \frac{5x^2+5x+7x+7}{x+1}dx$
$I = \int(x) \frac{(5x+7)(x+1)}{x+1}dx$
$I = \int x(5x+7)dx$
$I = \int (5x^2+7x)dx$
$I = \frac{5x^3}{3} + \frac{7x^2}{2}+c$

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