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Integral Calculus> evaluate the following integral ∫ 1 – sin...

question mark

evaluate the following integral
∫ 1 – sin 2x / x + cos^2 (x) dx

taniska , 10 Years ago

Grade 12

1 Answers

Jitender Singh

Last Activity: 10 Years ago

Ans:
Hello student,
Please find the answer to your question below

$I = \int \frac{1-sin2x}{x+cos^{2}x}dx$
$x+cos^{2}x = t$
$(1+2cosx(-sinx))dx = dt$
$(1-sin2x)dx = dt$
$I = \int \frac{dt}{t}$
$I = log(t)+c$
$I = log(1-sin2x)+c$

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