Mathematics

# $\int { \frac { dx }{ \left( x+1 \right) \left( 2x-3 \right) } }$

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

#### Realted Questions

Q1 Subjective Medium
Evaluate: $\int {\frac{{\tan x}}{{{{\left( {\cos x} \right)}^2}}}dx}$

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

Q2 Single Correct Medium
Solve $\displaystyle\int {\dfrac{{2 + x + {x^2}}}{{{x^2}\left( {2 + x} \right)}} + \dfrac{{2x - 1}}{{{{\left( {x + 1} \right)}^2}}}dx}$
• A. $\ln \left| {2 - x} \right| + \dfrac{3}{{\left( {x + 1} \right)}} + 2\ln \left( {x + 1} \right) - \dfrac{1}{x} + C$
• B. $\ln \left| {2 + x} \right| + \dfrac{3}{{\left( {x - 1} \right)}} + 2\ln \left( {x + 1} \right) - \dfrac{1}{x} + C$
• C. None of these
• D. $\ln \left| {2 + x} \right| + \dfrac{3}{{\left( {x + 1} \right)}} + 2\ln \left( {x + 1} \right) - \dfrac{1}{x} + C$

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

Q3 Single Correct Medium
$\int_{0}^{2}(\sqrt{\frac{4-x}{x}}-\sqrt{\frac{x}{4-x}})dx$ is equal to :
• A.
• B. 8
• C. 16
• D. 4

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

Q4 Subjective Hard
Evaluate $\int_{-1}^{\frac{1}{2}}\left | x sin \pi x \right |dx$

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

Q5 Passage Medium
Consider two differentiable functions $f(x), g(x)$ satisfying $\displaystyle 6\int f(x)g(x)dx=x^{6}+3x^{4}+3x^{2}+c$ & $\displaystyle 2 \int \frac {g(x)dx}{f(x)}=x^{2}+c$. where $\displaystyle f(x)>0 \forall x \in R$

On the basis of above information, answer the following questions :

Asked in: Mathematics - Limits and Derivatives

1 Verified Answer | Published on 17th 08, 2020