Question:
\(\displaystyle\int\frac{dx}{cosx-sinx}\) is equal to
\(\displaystyle\int\frac{dx}{cosx-sinx}\) is equal to
Updated On: Oct 4, 2024
- \(\frac{1}{\sqrt2}\log|\tan(\frac{x}{2}-\frac{\pi}{8})|+C\)
- \(\frac{1}{\sqrt2}\log|\cot(\frac{x}{2})|+C\)
- \(\frac{1}{\sqrt2}\log|\tan(\frac{x}{2}-\frac{3\pi}{8})|+C\)
- \(\frac{1}{\sqrt2}\log|\tan(\frac{x}{2}+\frac{3\pi}{8})|+C\)
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
The correct option is (D): \(\frac{1}{\sqrt2}\log|\tan(\frac{x}{2}+\frac{3\pi}{8})|+C\)
Was this answer helpful?
0
0
Top Questions on integral
- Let $f : (0, \infty) \to \mathbb{R}$ and $F(x) = \int_{0}^{x} tf(t) \, dt$. If $F(x^2) = x^4 + x^5$, then \[\sum_{r=1}^{12} f(r^2)\]is equal to:
- If \[\int_{0}^{\frac{\pi}{3}} \cos^4 x \, dx = a\pi + b\sqrt{3},\]where $a$ and $b$ are rational numbers, then $9a + 8b$ is equal to:
- The value of \[\int_{0}^{1} \left(2x^3 - 3x^2 - x + 1\right)^{\frac{1}{3}} \, dx\]is equal to:
- Let \( r_k = \frac{\int_{0}^{1} (1 - x^7)^k \, dx}{\int_{0}^{1} (1 - x^7)^{k+1} \, dx}, \, k \in \mathbb{N} \). Then the value of \[ \sum_{k=1}^{10} \frac{1}{7(r_k - 1)}\]is equal to ______.
- \( \int_{0}^{\pi/4} \frac{\cos^2 x \sin^2 x}{\left( \cos^3 x + \sin^3 x \right)^2} \, dx \) is equal to:
View More Questions
Questions Asked in SRMJEEE exam
Calculate the Reynold’s number for a liquid of density 1 g/cm3, viscosity 8 x 10-4 Pa.s flowing at 0.5 m/s through a pipe of diameter 4 cm?
- SRMJEEE - 2023
- Fluid Mechanics
Which of the following statement is true for aqueous solution of 0.1 M urea, 0.2 M glucose nad 0.3 M sucrose
- SRMJEEE - 2023
- Biomolecules
The molar conductivities at infinite dilution for Na2SO4,K2S04,KCl, HCl and HCOONa at 300K are 260, 308, 150, 426, and 105 S cm2 mol-1, respectively. What will be A+m for formic acid in the same unit?
- SRMJEEE - 2023
- Electrochemistry
Electrophilic halogenation of phenol does not require catalyst because
- SRMJEEE - 2023
- Haloalkanes and Haloarenes
- Which one is the correct expression of electric potential on the axial point of a dipole whose dipole moment is р and length is 2l, at a distance of r?
- SRMJEEE - 2023
- Electrostatics
View More Questions