Question

The integral of \(f(x)=1+x^2+x^4\) with respect to \(x^2\) is

• A. \(x+\frac{x^3}{3}+\frac{x^5}{5}+C\)
• B. \(\frac{x^2}{3}+\frac{x^4}{5}+C\)
• C. \(x^2+\frac{x^4}{4}+\frac{x^6}{6}+C\)
• D. \(x^2+\frac{x^4}{2}+\frac{x^6}{3}+C\)

Hint:

If integration is with respect to \(x^2\), put \(t=x^2\) and integrate in terms of \(t\).

Answer 1

The Correct Option is D