If ^ 4 x x d x= 1 2 _ ( 1+ x 1- x )-g(x)+c where g(x) equals.
Mathematics · JEE Main · NTA Exams — Integral Calculus
If \(\int \frac{\sin ^{4} x}{\cos x} d x=\frac{1}{2} \log _{\epsilon}\left(\frac{1+\sin x}{1-\sin x}\right)-g(x)+c\) where g(x) equals.
- \(\frac{1}{3} \sin ^{3} x+\sin x\)
- \(\frac{1}{3} \sin ^{3} x-\sin x\)
- \(\frac{1}{3} \cos ^{3} x-\cos x\)
Answer
(A) 1 3 ^ 3 x+ x
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