Question:
\(\int(\frac{e^{8\text{ln}x}-e^{4\text{ln}x}}{e^{4\text{ln}x}-e^{2\text{ln}x}})dx\)
\(\int(\frac{e^{8\text{ln}x}-e^{4\text{ln}x}}{e^{4\text{ln}x}-e^{2\text{ln}x}})dx\)
Updated On: Mar 10, 2024
- \(\frac{e^{8x}-e^{4x}}{e^{4x}-e^{2x}}+C\)
- \(\frac{x^5}{5}+\frac{x^3}{3}+C\)
- \(\frac{x^5}{5}-\frac{x^3}{3}+C\)
- \(\frac{e^{4x}-e^{2x}}{e^{2x}-e^x}+C\)
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
The correct answer is (B) : \(\frac{x^5}{5}+\frac{x^3}{3}+C\)
Was this answer helpful?
0
0
Top Questions on Random variables
- Two fair coins are tossed independently. X is a random variable that takes a value of 1 if both tosses are heads and 0 otherwise. Y is a random variable that takes a value of 1 if at least one of the tosses is heads and 0 otherwise.
The value of the covariance of X and Y is _________ (rounded off to three decimal places). - If \(X\) is a continuous random variable with the probability density function
\(f(x) = \begin{cases} \frac K4 & ; 0\leq x \leq 1\\ 0 & ; \text{otherwise} \end{cases}\)
Then the value of \(K\) is _____ . (Answer in integer)- GATE PI - 2024
- Mathematics
- Random variables
- Given the following Bayesian Network consisting of four Bernoulli random variables and the associated conditional probability tables :
P(.) U = 0 0.5 U = 1 0.5 P(V = 0| .) P(V = 1| .) U = 0 0.5 0.5 U = 1 0.5 0.5 P(W = 0| .) P(W = 1| .) U = 0 1 0 U = 1 0 1 The value of P(U = 1, V = 1, W = 1,Z= 1) = ______. (rounded off to three decimal places)P(Z = 0| .) P(Z = 1| .) V = 0 W = 0 0.5 0.5 V = 0 W = 1 1 0 V = 1 W = 0 1 0 V = 1 W = 1 0.5 0.5 - Given the two-dimensional dataset consisting of 5 data points from two classes (circles and squares) and assume that the Euclidean distance is used to measure the distance between two points. The minimum odd value of k in k-nearest neighbor algorithm for which the diamond (◊) shaped data point is assigned the label square is ________.
- Let X be a random variable uniformly distributed in the interval [1, 3] and Y be a random variable uniformly distributed in the interval [2, 4]. If X and Y are independent of each other, the probability P(X ≥ Y) is ________
(rounded off three decimal places).
View More Questions
Questions Asked in CUET PG exam
- What is the correct verb form: He, as well as his friends, ?
- Which preposition is correct: Chanakya lived ?
- CUET (PG) - 2025
- Prepositions
- Identify the possessive noun: My office car is parked elsewhere.
- Which tense is appropriate: How did Saira ?
- Complete the sentence: There is a growing synthesis between humanism and ?
- CUET (PG) - 2025
- Sentence Completion
View More Questions