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Grade 12Integral Calculus

integrate the following integral
∫ sin^2 bx dx

taniska

11 Years agoGrade 12

1 Answer

Jitender Singh

11 Years ago

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

$I = \int sin^{2}bxdx$
$I = \frac{1}{2}\int 2sin^{2}bxdx$
$I = \frac{1}{2}\int (1-cos2bx)dx$
$I = \frac{1}{2}\int dx-\frac{1}{2}\int cos2bxdx$
$I = \frac{x}{2}-\frac{1}{2}\int cos2bxdx$
$I = \frac{x}{2}-\frac{1}{4b}sin2bx+c$

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