Mathematics

# If $a > 0$ and $A=\displaystyle \int^{a}_{0}\cos^{-1}xdx$, then $\int ^{a}_{-a}(\cos^{-1}x-\sin^{1}\sqrt {1-x^{2}})dx=\pi a-\lambda A$. Then $\lambda$

$0$

Its FREE, you're just one step away

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

#### Realted Questions

Q1 Subjective Medium
$\int {\dfrac{{6x + 7}}{{\left( {x - 5} \right)\left( {x - 4} \right)}}\,dx}$

1 Verified Answer | Published on 17th 09, 2020

Q2 Subjective Medium
Evaluate the given integral: $\displaystyle \int_{0}^{4} {(4x-x^2)}dx$

1 Verified Answer | Published on 17th 09, 2020

Q3 Single Correct Medium
If  $I _ { 1 } = \int _ { 0 } ^ { 1 } 2 ^ { x ^ { 2 } } d x , I _ { 2 } = \int _ { 0 } ^ { 1 } 2 ^ { x ^ { 3 } } d x , I _ { 3 } = \int _ { 1 } ^ { 2 } 2 ^ { x ^ { 2 } } d x$ and $I _ { 4 } = \int _ { 1 } ^ { 2 } 2 ^ { x ^ { 3 } } d x$  then
• A. $I _ { 3 } = I _ { 4 }$
• B. $I _ { 1 } > I _ { 2 }$
• C. $\mathrm { l } _ { 2 } > \mathrm { l } _ { 1 }$
• D. $\mathrm { l } _ { 3 } > \mathrm { I } _ { 4 }$

1 Verified Answer | Published on 17th 09, 2020

Q4 Subjective Medium
$I=\displaystyle\int \dfrac 1{x\log x} dx$

1 Verified Answer | Published on 17th 09, 2020

Q5 Subjective Medium
Evaluate :$\displaystyle \int { \log } x{dx}$