ISI2021-MMA: 4

Question

If $g’ (x) = f(x)$ then $\int x^{3} f(x^{2}) dx$ is given by

• A. $x^{2} g(x^{2}) – \int xg(x^{2}) dx + C$
• B. $ \frac{1}{2} x^{2} g(x^{2}) – \int xg(x^{2}) dx + C$
• C. $2x^{2} g(x^{2}) – \int xg(x^{2}) dx + C$
• D. $x^{2} g(x^{2}) – \frac{1}{2} \int xg(x^{2}) dx + C$

Answer 1

option b is correct.

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