Mathematics

# Evaluate the following integrals$\int { \cfrac { 1 }{ \sin { x } -\sqrt { 3 } \cos { x } } } dx\quad$

##### SOLUTION

Its FREE, you're just one step away

Subjective Medium Published on 17th 09, 2020
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 86

#### Realted Questions

Q1 Single Correct Medium
The value of the integral $\int_{0}^{\infty} \dfrac{x \log x}{\left(1+x^{2}\right)^{2}} d x$ is
• A. $\log 7$
• B. $5 \log 12$
• C. None of these
• D.

1 Verified Answer | Published on 17th 09, 2020

Q2 Single Correct Medium
$\displaystyle\int { { e }^{ x }\left( \dfrac { 1-\sin { x } }{ 1-\cos { x } } \right) dx }$ is equal to
• A. $-{ e }^{ x }\tan { \left( \dfrac { x }{ 2 } \right) } +C$
• B. $-\dfrac { 1 }{ 2 } { e }^{ x }\tan { \left( \dfrac { x }{ 2 } \right) } +C$
• C. $\dfrac { 1 }{ 2 } { e }^{ x }\cot { \left( \dfrac { x }{ 2 } \right) } +C$
• D. $-{ e }^{ x }\cot { \left( \dfrac { x }{ 2 } \right) } +C$

1 Verified Answer | Published on 17th 09, 2020

Q3 Single Correct Medium
The value of $\displaystyle \int^{\pi/4}_{-\pi /4} \dfrac{dx}{sec^2x(1-sinx)}$ is
• A. $\pi$
• B. $\pi / 2$
• C. $2 \pi$
• D. $\pi / 4$

1 Verified Answer | Published on 17th 09, 2020

Q4 Subjective Medium
Evaluate the following integral:
$\displaystyle\int^1_0\dfrac{2x}{(1+x^4)}dx$.

solve $\int \frac{1}{1+e^{-1}}\;dx$