Grade 12Integral Calculus

evaluate the following integral
∫ 1 + cot x / x + log sin x dx

taniska

11 Years agoGrade 12

1 Answer

Jitender Singh

11 Years ago

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

$I = \int \frac{1+cotx}{x+log(sinx)}dx$
$x+log(sinx) = t$
$(1+\frac{cosx}{sinx})dx = dt$
$(1+cotx)dx = dt$
$I = \int \frac{dt}{t}$
$I = log(t) + c$
$I = log(x+log(sinx)) + c$

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evaluate the following integral∫ 1 + cot x / x + log sin x dx

taniska

1 Answer

Jitender Singh

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