Mathematics

# $\displaystyle \int^{\pi/2}_{-\pi/2}\sqrt {\cos x-\cos^{3}x}dx=$

$4/3$

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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 Hard
Evaluate $\displaystyle\int\displaystyle\frac{\cos 2x}{\sqrt{1+\sin 2x}}dx$.

1 Verified Answer | Published on 17th 09, 2020

Q2 Multiple Correct Medium
If $f\left( x \right) =f\left( a-x \right)$ and $g\left( x \right) +g\left( a-x \right) =2$ then, $\displaystyle \int _{ 0 }^{ a }{ f\left( x \right) .g\left( x \right) dx= }$
• A. $a$
• B. $\mathrm{a}^{2}$
• C. $\displaystyle \int _{ 0 }^{ a }{ f\left( a-x \right) \quad dx }$
• D. $\displaystyle \int_{0}^{\mathrm{a}} \mathrm{f}(\mathrm{x})dx$

1 Verified Answer | Published on 17th 09, 2020

Q3 Subjective Medium
Integrate : $\displaystyle \int e^x \cdot \frac {(x-3)}{(x-1)^3}dx$

1 Verified Answer | Published on 17th 09, 2020

Q4 Single Correct Medium
$\int _{ 0 }^{ 5 }{ \sqrt { 25-{ x }^{ 2 } } } dx=.........$
• A. $25\pi$
• B. $\cfrac { \pi }{ 4 }$
• C. $\cfrac { 25 }{ 4 }$
• D. $\cfrac { 25\pi }{ 4 }$

1 Verified Answer | Published on 17th 09, 2020

Q5 Single Correct Medium
$\displaystyle \int_2^3\dfrac{dx}{x^2-1}$
• A. $log\dfrac{3}{2}$
• B. $2log\dfrac{3}{2}$
• C. $\log\dfrac{3}{2}$
• D. $\dfrac{1}{2}log\dfrac{3}{2}$