Mathematics

# $\displaystyle \int (12\sin x+5\cos x)^{-1}dx$ is, (where $c$ is an arbitary constant)

$1/13\log { \left| \tan { \left( \dfrac { x }{ 2 } +\dfrac { 1 }{ 2 } \tan ^{ -1 }{ \dfrac { 5 }{ 12 } } \right) } \right| }+ c$

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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
Evaluate the following integral as limit of sums:$\displaystyle \int_{a}^{b}x\ dx$

1 Verified Answer | Published on 17th 09, 2020

Q2 Subjective Medium
$\displaystyle \int _{ 1 }^{ 4 }{ \left| { x }^{ 2 }-5x+6 \right| dx }$

1 Verified Answer | Published on 17th 09, 2020

Q3 Single Correct Medium
$\displaystyle \int \frac {dx}{x(x^2+1)}$ equals
• A. $\log|x|+\dfrac {1}{2}\log (x^2+1)+C$
• B. $-\log|x|+\dfrac {1}{2}\log (x^2+1)+C$
• C. $\dfrac {1}{2}\log |x|+\log (x^2+1)+C$
• D. $\log|x|-\dfrac {1}{2}\log (x^2+1)+C$

1 Verified Answer | Published on 17th 09, 2020

Q4 Subjective Hard
Evaluate:$\displaystyle\int{\left({e}^{\ln{x}}+\sin{x}\right)\cos{x}dx}$

$\int_{}^{} {\frac{{ - 1}}{{\sqrt {1 - {x^2}} }}dx}$