Mathematics

# Integrate wrt x$\int {\sqrt {\tan x} } dx$

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

#### Realted Questions

Q1 Subjective Hard
Evaluate:
$\displaystyle\int _{ 0 }^{ \pi /2 }{ \log { \left( \sin { x } \right) dx } }$

1 Verified Answer | Published on 17th 09, 2020

Q2 Single Correct Medium
$\displaystyle \int x^2 e^{x^3} dx$ equals
• A. $\dfrac{1}{3} e^{x^4} + C$
• B. $\dfrac{1}{2} e^{x^3} + C$
• C. $\dfrac{1}{2} e^{x^2} + C$
• D. $\dfrac{1}{3} e^{x^3} + C$

1 Verified Answer | Published on 17th 09, 2020

Q3 Single Correct Medium
Resolve into partial fraction $\displaystyle \frac{7+x}{(1+x)(1+x^2)}$
• A. $\displaystyle \frac{5}{1+x}+\frac{4-3x}{1+x^2}$
• B. $\displaystyle \frac{3}{1+x}-\frac{4-3x}{1+x^2}$
• C. $\displaystyle \frac{5}{1+x}-\frac{4-3x}{1+x^2}$
• D. $\displaystyle \frac{3}{1+x}+\frac{4-3x}{1+x^2}$

1 Verified Answer | Published on 17th 09, 2020

Q4 Subjective Medium
Evaluate $\int { \dfrac { dx }{ \sqrt { 5{ x }^{ 2 }-2x } } }$

The value of $\left(\int_{0}^{\pi/6} sec^{2} x dx\right)^2$ is: