>
Exams
>
Mathematics
>
Definite Integral
>
if 1 1 frac cosa alpha x 1 3 x dx frac2 pi then al
Question:
if $∫_{-1}^1 \frac{cos \, \alpha x}{1+3^x} dx = \frac2{\pi} $ then $\alpha$ is
JEE Main
Updated On:
Apr 14, 2024
π/6
π/2
π/3
π
Hide Solution
Verified By Collegedunia
The Correct Option is
B
Solution and Explanation
The Correct answer is option(B) : π/2
Download Solution in PDF
Was this answer helpful?
0
1
Top Questions on Definite Integral
Use integration to find the area of the region enclosed by the curve $y = -x^2$ and the straight lines $x = -3$, $x = 2$ and $y = 0$. Sketch a rough figure to illustrate the bounded region.
CBSE CLASS XII - 2025
Mathematics
Definite Integral
View Solution
\(Evaluate \int_0^{\pi/2} \frac{1 - \cot x}{\csc x + \cos x} \, dx:\)
CUET (UG) - 2024
Mathematics
Definite Integral
View Solution
The value of the integral \( \int_{\ln 2}^{\ln 3} \frac{e^{2x} - 1}{e^{2x} + 1} \, dx \) is:
CUET (UG) - 2024
Mathematics
Definite Integral
View Solution
Evaluate the integral $\int_0^1 \frac{a - bx^2}{(a + bx^2)^2} , dx$:
CUET (UG) - 2024
Mathematics
Definite Integral
View Solution
The value of
\(\int\limits_{-1}^1x^2 [x] dx\)
is:
CUET (UG) - 2023
Mathematics
Definite Integral
View Solution
View More Questions
Questions Asked in JEE Main exam
In the given situation, the force at the center on 1 kg mass is \( F_1 \). Now if \( 4m \) and \( 3m \) are interchanged, the force is \( F_2 \). Given \( \frac{F_1}{F_2} = \frac{2}{\sqrt{\alpha}} \), find \( \alpha \).
JEE Main - 2026
Gravitation
View Solution
Find correct order of acidic strength in the following reaction products \(P, Q, R \& S\):
JEE Main - 2026
Organic Chemistry
View Solution
An organic compound (A) undergoes the following reactions:
Which of the following is compound (A)?
JEE Main - 2026
Organic Chemistry
View Solution
Consider the following statements for [Ni(dmg)$_2$]:
(A) It is a red coloured compound.
(B) It is readily soluble in water at pH = 9.
(C) Central metal ion has two unpaired electrons.
(D) It has four, 5-membered metal containing rings.
JEE Main - 2026
coordination compounds
View Solution
Select correct option :
JEE Main - 2026
coordination compounds
View Solution
View More Questions