Grade 12Integral Calculus

evaluate ∫ cos 2x + 2 sin^2 x / sin^2 x dx

taniska

11 Years agoGrade 12

1 Answer

Jitender Singh

11 Years ago

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

$I = \int \frac{cos2x + 2sin^{2}x}{sin^{2}x}dx$
$cos2x = 1 - 2sin^{2}x$
$cos2x + 2sin^{2}x = 1$
$I = \int \frac{1}{sin^{2}x}dx$
$I = \int cosec^{2}xdx$
$I = -cotx + constant$

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evaluate ∫ cos 2x + 2 sin^2 x / sin^2 x dx

taniska

1 Answer

Jitender Singh

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