Grade 12Integral Calculus

evaluate the following integral
∫ (2 cos 2x + sec^2 (x)) / sin 2x + tan x – 5 dx

taniska

11 Years agoGrade 12

1 Answer

Jitender Singh

11 Years ago

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

$I = \int \frac{2cos2x+sec^{2}x}{sin2x+tanx-5}dx$
$sin2x+tanx-5 = t$
$(2cos2x+sec^{2}x)dx = dt$
$I = \int \frac{dt}{t}$
$I = log(t) + c$
$I = log(sin2x+tanx-5) + c$

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evaluate the following integral∫ (2 cos 2x + sec^2 (x)) / sin 2x + tan x – 5 dx

taniska

1 Answer

Jitender Singh

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