Mathematics

# If $I=\int _{ 2 }^{ 3 }{ \dfrac { { 2x }^{ 5 }+{ x }^{ 4 }-{ 2x }^{ 3 }+{ 2x }^{ 2 }+1 }{ \left( { x }^{ 2 }+1 \right) \left( { x }^{ 4 }-1 \right) } } dx$, then 1 equals

##### ANSWER

$\dfrac { 1 }{ 2 } ln6+\dfrac { 1 }{ 10 }$

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

#### Realted Questions

Q1 Single Correct Medium
$\displaystyle \int_0^{2a} f(x) dx = 0$ is
• A. $\displaystyle \int_0^{2a} f(2a - x) =\int_0^{2a} f(x)$
• B. $\displaystyle \int_0^{2a} f(x) = -\int_0^{2a} f (x)$
• C. $\displaystyle \int_0^{2a} f(-x) = \int_0^{2a} f(x)$
• D. $\displaystyle \int_0^{2a} f(2a - x) = - \int_0^{2a} f(x)$

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1 Verified Answer | Published on 17th 09, 2020

Q2 Subjective Medium
Solve:
$\displaystyle \int \dfrac{x\tan^{-1}{x^{2}}}{(1+x^{4})}\ dx$

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1 Verified Answer | Published on 17th 09, 2020

Q3 Subjective Medium
${\tan ^3}2x\sec 2x$

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

Q4 Subjective Medium
If $\dfrac{dy}{dx}+\sqrt{\dfrac{1-y^2}{1-x^2}}=0$. Prove that, $x\sqrt{1-y^2}+y\sqrt{1-x^2}=A$ where A is constant.

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1 Verified Answer | Published on 17th 09, 2020

Q5 Subjective Medium
$\displaystyle\int \left(e^x\right)^2 e^x dx$ is equal to

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020