Dear sir/madam,
how to find the integral of sin³x/(cos⁴x+3cos²x+1)tan^-1(secx + cosx)dx
It was there in the objective test 1, but I didn't understand the given solution. So can you please give me a detailed solution to this problem.

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Solution

Unable to understand
tan^-1 is in multiplication or division

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Similar questions

\int \frac{{sin}^{3} x}{({cos}^{4} x + 3 {cos}^{2} x + 1) {tan}^{- 1} (sec x + cos x)} d x

is equal to.

\int \frac{{sin}^{3} x}{({cos}^{4} x + 3 {cos}^{2} x + 1) {tan}^{- 1} (sec x + cos x)} d x =

\frac{s i n^{3} x}{(c o s^{4} x + 3 c o s^{2} x + 1) t a n^{- 1} (s e c x + c o s x)} d x =

Q. Evaluate:

\int \frac{{sin}^{3} x}{({cos}^{4} x + 3 {cos}^{2} x + 1) {tan}^{- 1} (sec x + cos x)} d x

Sir/madam this is not subject oriented but definetely important i am facing board exams for first time so please give me a lot of study tips and how to organize study space where to learn how to learn please

Dear sir/madam, how to find the integral of sin3 x/(cos4x+3cos2x+1)tan-1 (secx + cosx)dx It was there in the objective test 1, but I didn't understand the given solution. So can you please give me a detailed solution to this problem.

Unable to understand tan^-1 is in multiplication or division

Dear sir/madam,
how to find the integral of sin³x/(cos⁴x+3cos²x+1)tan^-1(secx + cosx)dx
It was there in the objective test 1, but I didn't understand the given solution. So can you please give me a detailed solution to this problem.

Unable to understand
tan^-1 is in multiplication or division