If \int f(x) d x=F(x), then \int x^{3} f(x^{2}) d x is equal to

Correct Answer is : 12[x2F(x2)−∫F(x2)d(x2)]

\frac{1}{2}[x^{2}\{F(x)\}^{2}-\int\{F(x)\}^{2} d x]

\frac{1}{2}[x^{2} F(x^{2})-\int F(x^{2}) d(x^{2})]

\frac{1}{2}[x^{2} F(x)-\frac{1}{2} \int\{F(x)\}^{2} d x]

Manipal Entrance Test 2019 Math Paper

Question : 65 of 70

Marks: +1, -0

If ∫f(x)dx=F(x), then ∫x3f(x2)dx is equal to

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