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Grade 12Integral Calculus

evaluate
∫ (3x sqrt(x) + 4 sqrt(x) + 5) dx

taniska

11 Years agoGrade 12

1 Answer

Jitender Singh

11 Years ago

Ans:
Hello Student,
Please find answer to your question below

$I = \int (3x\sqrt{x} + 4\sqrt{x} + 5)dx$
$I = \int (3x^{3/2} + 4\sqrt{x} + 5)dx$
$I = \int 3x^{3/2}dx + \int 4\sqrt{x}dx + \int 5dx$
$I = \frac{3x^{5/2}}{5/2} + \frac{4x^{3/2}}{3/2} + 5x + constant$
$I = \frac{6x^{5/2}}{5} + \frac{8x^{3/2}}{3} + 5x + constant$

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