Mathematics

# $\int (sin^{-1} x + cos^{-1} x) dx =$

$\dfrac{1}{2} \pi x + c$

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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 the given integral.
$\displaystyle \int { { e }^{ x } } \cfrac { x-4 }{ { (x-2) }^{ 2 } } dx$

1 Verified Answer | Published on 17th 09, 2020

Q2 Single Correct Medium
$\displaystyle \int _{-\pi/2}^{\pi/2}\dfrac{\cos{x}}{1+e^{x}}\ dx=$
• A. $0$
• B. $-1$
• C. $None\ of\ these$
• D. $1$

1 Verified Answer | Published on 17th 09, 2020

Q3 Subjective Hard
Let $f\left(y\right)={e}^{y},\,\,g\left(y\right)=y,\,\,y>0$ then $F\left(t\right)=\displaystyle\int_{0}^{t}{f\left(t-y\right)g\left(y\right)dy}=$

1 Verified Answer | Published on 17th 09, 2020

Q4 Passage Medium
Let $\displaystyle I_{1}=\int_{0}^{1}(1-x^{2})^{1/3} dx$  &  $\displaystyle I_{2}=\int_{0}^{1}(1-x^{3})^{1/2} dx$

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

$\displaystyle\int\limits_{0}^{2\pi}2\sin x \ dx$