COMEDK · Maths · 30. Definite Integration
\(\text { The value of the integral } \int_\limits{\dfrac{1}{3}}^1 \dfrac{\left(x-x^3\right)^{\dfrac{1}{3}}}{x^4} d x \text { is }\)
- A 4
- B 3
- C 0
- D 6
Answer & Solution
Correct Answer
(D) 6
Step-by-step Solution
Detailed explanation
Let \(I = \int_{\dfrac{1}{3}}^{1} \dfrac{(x-x^3)^{\dfrac{1}{3}}}{x^4} dx\). Factor out \(x^3\) from the term inside the cube root:…
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