Mathematics

# The value of $\displaystyle \int{(1+(2tanx)(\tan x+\sec x))}^{1/2}$ dx  is equal to

$In\|sec x(\sec x+\tan x)|+C$

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

#### Realted Questions

Q1 Subjective Medium
$\underset {n\rightarrow \infty}{lim}\dfrac{1^2+2^2+3^2+.....+n^2}{n^3}=.................$

1 Verified Answer | Published on 17th 09, 2020

Q2 Single Correct Medium
If $\phi (x) = f(x) + xf^1 (x)$ then $\int {\phi (x)dx}$ is equal to
• A. $(x + 1) f(x) + k$
• B. $(x - 1) f (x) + k$
• C. None of these
• D. $xf(x) + k$

1 Verified Answer | Published on 17th 09, 2020

Q3 Subjective Medium
Evaluate the following integral:
$\displaystyle\int^{\pi/2}_0\dfrac{\sin x}{(1+\cos^2x)}dx$.

1 Verified Answer | Published on 17th 09, 2020

Q4 Subjective Medium
Find: $\displaystyle \int \dfrac {dx}{(e^{x} - 1)}$

1 Verified Answer | Published on 17th 09, 2020

Q5 Single Correct Medium
$\displaystyle\int^1_{-2}\dfrac{|x|}{2}dx=?$
• A. $3$
• B. $2.5$
• C. $1.5$
• D. None of these