Mathematics

# $\displaystyle\int{\dfrac{1}{\sin x-\cos x}}dx$

$\dfrac{1}{\sqrt{2}}\log\left|\tan \left(\dfrac{x}{2}-\dfrac{\pi}{8}\right)\right|+c$

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Single Correct Medium Published on 17th 09, 2020
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 84

#### Realted Questions

Q1 Subjective Medium
Integration of
$\displaystyle \int{\dfrac{x^{2}}{1+y^{2}}}dx$

1 Verified Answer | Published on 17th 09, 2020

Q2 Single Correct Medium
If $f(x)=\displaystyle\int_{0}^{x}t\sin tdt$, then $f'(x)$ is
• A. $\cos x+x\sin x$
• B. $x\cos x$
• C. $\sin x+x\cos x$
• D. $x\sin x$

1 Verified Answer | Published on 17th 09, 2020

Q3 Subjective Medium
Evaluate $\int { \cfrac { 1 }{ (x-1){ x }^{ 2 } } } dx$

1 Verified Answer | Published on 17th 09, 2020

Q4 Subjective Medium
$I = \int \frac { 1 } { \sqrt { 2 x ^ { 2 } + 3 x + 8 } } d x$

1 Verified Answer | Published on 17th 09, 2020

Q5 Single Correct Medium
Integrate:
$\int _{ 0 }^{ \infty }{ \dfrac { x\tan ^{ -1 }{ x } }{ { (1+{ x }^{ 2 }) }^{ 2 } } } dx$ equals ?
• A. $\pi/2$
• B. $\pi/6$
• C. $\pi/4$
• D. $\pi/8$