>
Exams
>
Mathematics
>
integral
>
if y e x dx 2x 1 e 2 x and y 0 6 then y 4 is equal
Question:
if
\(y=\int\frac{e^{\tan x}dx}{\cos^2x(1+e^{2\tan x})}\)
and y(0)=6 then y
\(\frac{\pi}{4}\)
is equal to
JEE Main
Updated On:
Apr 10, 2024
tan
-1
e-
\(\frac{\pi}{4}\)
tan
-1
e+6-
\(\frac{\pi}{4}\)
tan
-1
e-6+
\(\frac{\pi}{4}\)
tan
-1
\(\frac{1}{e}\)
-6+
\(\frac{\pi}{4}\)
Hide Solution
Verified By Collegedunia
The Correct Option is
B
Solution and Explanation
The Correct answer is option is (B) : tan
-1
e+6-
\(\frac{\pi}{4}\)
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on integral
Evaluate the integral:
\[ \int \frac{\sin(2x)}{\sin(x)} \, dx \]
KEAM - 2025
Mathematics
integral
View Solution
Find the value of the integral: \[ \int_0^\pi \sin^2(x) \, dx. \]
BITSAT - 2025
Mathematics
integral
View Solution
Evaluate the integral:
$$ \int_0^{\pi/4} \frac{\ln(1 + \tan x)}{\cos x \sin x} \, dx $$
BITSAT - 2025
Mathematics
integral
View Solution
Evaluate the integral
\( \int_0^1 \frac{\ln(1 + x)}{1 + x^2} \, dx \)
BITSAT - 2025
Mathematics
integral
View Solution
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 ____
JEE Main - 2025
Mathematics
integral
View Solution
View More Questions
Questions Asked in JEE Main exam
A force of 49 N acts tangentially at the highest point of a sphere (solid of mass 20 kg) kept on a rough horizontal plane. If the sphere rolls without slipping, then the acceleration of the center of the sphere is:
JEE Main - 2025
Quantum Mechanics
View Solution
Total number of non-bonded electrons present in \( \text{NO}_2 \); ion based on Lewis theory is:
JEE Main - 2025
Chemical bonding and molecular structure
View Solution
Match List - I with List - II.
JEE Main - 2025
Thermodynamics
View Solution
The variance of the numbers 8, 21, 34, 47, \dots, 320, is:
JEE Main - 2025
Arithmetic Progression and Variance
View Solution
The value of \( (\sin 70^\circ)(\cot 10^\circ \cot 70^\circ - 1) \) is:
JEE Main - 2025
Trigonometric Identities
View Solution
View More Questions