Mathematics

# $\displaystyle \int \dfrac { 1 } { x \left\{ 6 ( \log x ) ^ { 2 } + 7 \log x + 2 \right\} } d x =$

$\log \left| \dfrac { 2 \log x + 1 } { 3 \log x + 2 } \right|$

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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
Evaluate :
$\int { \left( 1-x \right) \sqrt { x } } dx$

1 Verified Answer | Published on 17th 09, 2020

Q2 Subjective Medium
$\int \sin^{-1} \ (\dfrac{2x +2}{\sqrt{4x^{2} +8x +13}}\ )dx$ =

1 Verified Answer | Published on 17th 09, 2020

Q3 Single Correct Hard
$A:\displaystyle \int\frac{2\cos x+3\sin x}{4\cos x+5\sin x}dx=\frac{-2}{41}\log|4\cos x+5\sin x|+\frac{23}{41}x+c$

$R:\displaystyle \int\frac{a\cos x+b\sin x}{c\cos x+d\sin x}dx=\displaystyle \frac{ac+bd}{c^{2}+d^{2}}x+\frac{ad-bc}{c^{2}+d^{2}}\log|c\cos x+d\sin x|+k$
• A. Both A and R are true but R is not correct explanation of A
• B. A is true R is false
• C. A is false but R is true.
• D. Both A and R are true and R is the correct explanation of A

1 Verified Answer | Published on 17th 09, 2020

Q4 Subjective Medium
Evaluate: $\int { \sqrt { \cfrac { 1-\sqrt { x } }{ 1+\sqrt { x } } } } dx$

$\int \frac{2x^{2}}{3x^{4}2x} dx$