Question:
\[
\int x^2 (x^4 + 1)^{3/4} \, dx \text{ is equal to }
\]
\[
\int x^2 (x^4 + 1)^{3/4} \, dx \text{ is equal to }
\]
Show Hint
When integrating powers of binomials, use substitution to simplify the integrand and apply standard integration techniques.
Updated On: Jan 12, 2026
- \( \left[ 1 + \frac{1}{x^4} \right]^{1/4} + C \)
- \( \left( x^4 + 1 \right)^{1/4} + C \)
- \( \left( 1 - \frac{1}{x^4} \right)^{1/4} + C \)
- \( \left( 1 + \frac{1}{x^4} \right)^{1/4} + C \)
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The Correct Option is B
Solution and Explanation
To solve the given integral, we use substitution and apply integration rules for powers of functions. The integral evaluates to \( \left( x^4 + 1 \right)^{1/4} + C \).
Step 2: Conclusion.
The correct answer is (B).
Step 2: Conclusion.
The correct answer is (B).
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