Question:
f \(\int_0 ^a3x^2dx=8\) then find the value of a
f \(\int_0 ^a3x^2dx=8\) then find the value of a
Updated On: Jul 20, 2024
- 3
- 2
- 4
- 8
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
The correct option is (B):2
Was this answer helpful?
0
0
Top Questions on Calculus
- If\[\int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \sqrt{1 - \sin 2x} \, dx = \alpha + \beta \sqrt{2} + \gamma \sqrt{3},\]where \( \alpha \), \( \beta \), and \( \gamma \) are rational numbers, then \( 3\alpha + 4\beta - \gamma \) is equal to ______.
- For the function $f(x) = (\cos x) - x + 1, x \in \mathbb{R}$, find the correct relationship between the following two statements
(S1) $f(x) = 0$ for only one value of x is $[0, \pi]$.
(S2) $f(x)$ is decreasing in $\left[0, \frac{\pi}{2}\right]$ and increasing in $\left[\frac{\pi}{2}, \pi\right]$. - The area of the region enclosed by the parabolas \( y = x^2 - 5x \) and \( y = 7x - x^2 \) is _________.
- Let \( f \) be a differentiable function in the interval \( (0, \infty) \) such that \( f(1) = 1 \) and \(\lim_{t \to x} \frac{t^2 f(x) - x^2 f(t)}{t - x} = 1\) for each \( x > 0 \).
Then \( 2f(2) + 3f(3) \) is equal to _________. - Let \( f(x) = 2^x - x^2, \, x \in \mathbb{R} \). If \( m \) and \( n \) are respectively the number of points at which the curves \( y = f(x) \) and \( y = f'(x) \) intersect the x-axis, then the value of \( m + n \) is
View More Questions
Questions Asked in NATA exam
- Mirror image of a clock shows 8:50. What will the actual time?
- NATA - 2024
- General Aptitude
- What is another word for 'LOFT'?
- NATA - 2024
- Architectural Knowledge
- Identify the building material:
- NATA - 2024
- Architectural Knowledge
- If a number is divisible by 15. Which of the following is false?
- NATA - 2024
- General Aptitude
- What is the function of a 'Banquet hall' in a Hotel.
- NATA - 2024
- Architectural Knowledge
View More Questions