Teaching UP TGT Mock Test Series 2025 Mathematics Integral Calculus Indefinite Integrals

Let \(\int {\frac{{\sqrt x }}{{\sqrt {1 - {x^3}} }}dx = \frac{2}{3}} \). gof(x) + c. Then

1
f(x) = √x
2
\(f\left( x \right) = {x^{\frac{3}{2}}}\)
3
g(x) = sin x 
4
\(g\left( x \right) = \sqrt[3]{{\sin x}}\)
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