Question:

If $\Phi(z)=c_0+c_1z^{-1}$ , then $\oint_{|z|=1}\frac{1+\Phi(z)}{z}dz$ is

Updated On: Mar 12, 2025

2πc₁
2π(1+c₀)
2πic₁
2πi(1+c₀)

Hide Solution

Verified By Collegedunia

The Correct Option is D

Solution and Explanation

The correct answer is(B): 2πi(1+c₀)

Was this answer helpful?

0

0

Top Questions on Integration

Solve $\int_{-1}^{1} \frac{1+2x}{e^{-x} + e^x} \, dx$ .
- JEE Main - 2025
- Mathematics
- Integration
View Solution
For the beam and loading shown in the figure, the second derivative of the deflection curve of the beam at the mid-point of AC is given by $\frac{\alpha M_0}{8EI}$ . The value of $\alpha$ is ........ (rounded off to the nearest integer).
- GATE CE - 2025
- Mathematics
- Integration
View Solution
If the function $f(x) = \begin{cases} \frac{2}{x} \left( \sin(k_1 + 1)x + \sin(k_2 -1)x \right), & x<0 \\ 4, & x = 0 \\ \frac{2}{x} \log_e \left( \frac{2 + k_1 x}{2 + k_2 x} \right), & x>0 \end{cases}$ is continuous at $x = 0$ , then $k_1^2 + k_2^2$ is equal to:
- JEE Main - 2025
- Mathematics
- Integration
View Solution
The integral is given by:
$80 \int_{0}^{\frac{\pi}{4}} \frac{\sin\theta + \cos\theta}{9 + 16 \sin 2\theta} d\theta$
is equals to?
- JEE Main - 2025
- Mathematics
- Integration
View Solution
If $\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \frac{96x^2 \cos^2 x}{1 + e^x} dx = \pi(a\pi^2 + \beta), \quad a, \beta \in \mathbb{Z},$ then $(a + \beta)^2$ equals:
- JEE Main - 2025
- Mathematics
- Integration
View Solution

View More Questions

Questions Asked in CUET PG exam

View More Questions