Double integrals in polar coordinates

$x$ $x$ $x$ $x$ $x$ $x$ $x$ $x$ $x$

Calculate $\int_{R}\dfrac{1}{\cos^2(x^2+y^2)}\,\dd(x,y)$ where the region of integration $R$ is the quarter circle with radius $a$ and the origin as centre, such that $x>0$ and $y>0$ .

$\int_{R}\dfrac{1}{\cos^2(x^2+y^2)}\,\dd(x,y)={}$

$\quad\text{where }R\text{ is the given quarter circle.}$

About us ⋅ Help ⋅ Privacy ⋅ Terms and conditions
Copyright © 2025 Sowiso

units
abc
abc
abc
vector
logic
function
standard

7

8

9

+

4

5

6

−

1

2

3

÷

.

0

=

×∗×

√

nth root

a■

$fraction$

>

log

sin

∧

e

<

ln

cos

∨

π

≥

|

|

tan

all

≤

!

°

none

↵

backspace

(

)

C

↑

←

↓

→

x

y