Question

Evaluate \[ \int \frac{1}{(x^4+1)^{5/4}}\,dx. \]

• A. \(-\dfrac{4}{(x^4+1)^{1/4}}\)
• B. \(\dfrac{1}{(x^4+1)^{1/4}}\)
• C. \(\dfrac{x}{(x^4+1)^{1/4}}\)
• D. \(-\dfrac{2}{(x^4+1)^{1/4}}\)

Hint:

In objective-type integration problems, differentiating the options is often faster than performing a full integration. The correct antiderivative differentiates exactly to the given integrand.

Answer 1

The Correct Option is C