The area enclosed by the curves x=asin^3...

The area enclosed by the curves `x=asin^3ta n dy="a c o s"^3t` is equal to (A)`12 a^2int_0^(pi/2)cos^4tsin^2tdt` (B) `12 a^2int_0^(pi/2)cos^2tsin^4tdt` (C) `2int_(-a)^a(a^(2/3)-x^(2/3))^(3/2)dx` (D) `4int_0^a(a^(2/3)-x^(2/3))^(3/2)dx`

Similar Questions

Explore conceptually related problems

int_0^(pi/4) sin^3 2tcos2tdt

int_(0)^(pi//2) cos 3x dx

int_(0)^(pi//6)(2+3x^(2))cos3x dx=

Evaluate : int_(0)^(pi//2)cos^(3)x\ dx

value of int_0^((pi)/(2))cos3tdt is

Area bounded by the curves y^2=4x and y=2x is equal to (A) int_0^1(2sqrt(x)-2x)dx (B) 1/3 (C) 2/3 (D) int_0^2(y/2-y^2/4)dy

int_(0)^(pi/4) sin^(3) x dx=(2)/(3)

(i) int_0^4 (2x+3) dx (ii) int_0^4 (2x-1)dx