Grade 12Integral Calculus

evaluate
∫ (tan x + cot x)^2 dx

taniska

12 Years agoGrade 12

2 Answers

Jitender Singh

12 Years ago

Ans:

Hello Student,
Please find answer to your question below

$I = \int (tanx+cotx)^2dx$
$I = \int (tan^2x+cot^2x+2)dx$
$I = \int (sec^2x-1+cosec^2x-1+2)dx$
$I = \int sec^2xdx+\int cosec^2xdx$
$I = tanx+\int cosec^2xdx$
$I = tanx - cotx + c$

Kushagra Madhukar

6 Years ago

Dear student,

Please find the answer to your problem below.

I = ∫ (tanx + cotx)² dx

I = ∫ (tan²x + cot²x + 2) dx

I = ∫ (sec²x – 1 + cosec²x – 1 + 2) dx

I = ∫sec²x dx + ∫cosec²x dx

Hence, I = tanx – cotx + c

Hope it helps.

Thanks and regards,

Kushagra

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evaluate∫ (tan x + cot x)^2 dx

taniska

2 Answers

Jitender Singh

Kushagra Madhukar

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