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Grade 12Integral Calculus

integrate the following integral
∫ (2x – 3)^5 + sqrt(3x +2) dx

taniska

11 Years agoGrade 12

1 Answer

Jitender Singh

11 Years ago

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

$I = \int [(2x-3)^5+\sqrt{3x+2}]dx$
$I = \int (2x-3)^5dx+\int \sqrt{3x+2}dx$
$I = \frac{(2x-3)^6}{12}+\int \sqrt{3x+2}dx$
$I = \frac{(2x-3)^6}{12}+\frac{2(3x+2)^{3/2}}{3.3}+c$
$I = \frac{(2x-3)^6}{12}+\frac{2(3x+2)^{3/2}}{9}+c$

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