If \int \frac{d x}{ \sin ^3 x+\cos ^3 x}=A \log {| {\sqrt{2}+t}/{\sqrt{2}-t} |}+B {\Tan}^{-1}(t)+c, then (\frac{B}{A}, t) = [AP EAPCET 21 May 2025 S1]

Correct Answer is : (2√2,sinx−cosx)

( {\sqrt{2}}/{3}, \sin x-\cos x)

( {3}/{\sqrt{2}}, \sin x+\cos x)

Indefinite Integration

Section: Mathematics

Question : 42 of 89

Marks: +1, -0

If ∫‌

sin‌3x+cos3x

=A‌log‌|‌

√2+t

√2−t

|+BTan−1(t)+c, then (‌

,t)=

[AP EAPCET 21 May 2025 S1]

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