Question:
If $\int_{0}^{1} $ 1/(5+2x-2x2)(1+e(2-4x)) dx = 1/loge (α+1/β) a, β>0, then a4- β4 is equal to
If $\int_{0}^{1} $ 1/(5+2x-2x2)(1+e(2-4x)) dx = 1/loge (α+1/β) a, β>0, then a4- β4 is equal to
Updated On: Feb 27, 2026
- -21
- 0
- 19
- 21
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
The correct option is(D): 21
Was this answer helpful?
0
1
Top Questions on integral
- Evaluate $ \int_{0}^{1} (3x^2 + 2x) \, dx $.
- The value of the integral \( \int_0^1 x^2 \, dx \) is:
Let \( f : (0, \infty) \to \mathbb{R} \) be a twice differentiable function. If for some \( a \neq 0 \), } \[ \int_0^a f(x) \, dx = f(a), \quad f(1) = 1, \quad f(16) = \frac{1}{8}, \quad \text{then } 16 - f^{-1}\left( \frac{1}{16} \right) \text{ is equal to:}\]
- Let $ f(x) $ be a positive function and $I_1 = \int_{-\frac{1}{2}}^1 2x \, f\left(2x(1-2x)\right) dx$ and $I_2 = \int_{-1}^2 f\left(x(1-x)\right) dx.$ Then the value of $\frac{I_2}{I_1}$ is equal to ____
- Evaluate the integral: \[ \int \frac{x^2 + 2x}{\sqrt{x^2 + 1}} \, dx \]
View More Questions
Questions Asked in JEE Main exam
- Let $\vec{a}=2\hat{i}-\hat{j}-\hat{k}$, $\vec{b}=\hat{i}+3\hat{j}-\hat{k}$ and $\vec{c}=2\hat{i}+\hat{j}+3\hat{k}$. Let $\vec{v}$ be the vector in the plane of $\vec{a}$ and $\vec{b}$, such that the length of its projection on the vector $\vec{c}$ is $\dfrac{1}{\sqrt{14}}$. Then $|\vec{v}|$ is equal to
- JEE Main - 2026
- Vector Algebra
- Let \( S = \{x^3 + ax^2 + bx + c : a, b, c \in \mathbb{N} \text{ and } a, b, c \le 20\} \) be a set of polynomials. Then the number of polynomials in \( S \), which are divisible by \( x^2 + 2 \), is:
- JEE Main - 2026
- Algebra
- Figure shows the circuit that contains three resistances (\(9\,\Omega\) each) and two inductors (\(4\,\text{mH}\) each). The reading of ammeter at the moment switch \(K\) is turned ON, is _________ A.
- JEE Main - 2026
- Electromagnetic induction
In the following \(p\text{–}V\) diagram, the equation of state along the curved path is given by \[ (V-2)^2 = 4ap, \] where \(a\) is a constant. The total work done in the closed path is:
- JEE Main - 2026
- Thermodynamics
- Let \[ A=\{z\in\mathbb{C}:|z-2|\le 4\} \quad\text{and}\quad B=\{z\in\mathbb{C}:|z-2|+|z+2|=5\}. \] Then the maximum value of \(|z_1-z_2|\), where \(z_1\in A\) and \(z_2\in B\), is:
- JEE Main - 2026
- Miscellaneous
View More Questions