Question:medium
The value of $\displaystyle \int_{0}^{1} x(1-x)^4 \, dx$ is equal to:
The value of $\displaystyle \int_{0}^{1} x(1-x)^4 \, dx$ is equal to:
Show Hint
Expand polynomial first for easy definite integration.
Updated On: Apr 24, 2026
- $\frac{1}{60}$
- $\frac{1}{15}$
- $\frac{1}{30}$
- $\frac{1}{45}$
- $\frac{1}{20}$
Show Solution
The Correct Option is C
Solution and Explanation
Was this answer helpful?
0
Top Questions on Definite Integral
- Evaluate the definite integral: \( \int_{-2}^{2} |x^2 - x - 2| \, dx \)
- MHT CET - 2025
- Mathematics
- Definite Integral
- The value of the integral: \[ I = \int_0^3 \frac{dx}{\sqrt{9 - x^2}} \] is:
- CBSE Class XII - 2024
- Mathematics
- Definite Integral
- Evaluate \( \int_0^{\pi/4} \frac{x}{1+\cos 2x + \sin 2x} \, dx \).
- CBSE Class XII - 2024
- Mathematics
- Definite Integral
- The value of \(\lim_{{n \to \infty}} \sum_{{k=1}}^{n} \frac{n^3}{{(n^2 + k^2)(n^2 + 3k^2)}}\) is
- JEE Main - 2024
- Mathematics
- Definite Integral
- Want to practice more? Try solving extra ecology questions todayView All Questions
