Home
Class 12
MATHS
int(sin^(3//2)x+cos^(3//2)x)/(sqrt(sin^(...

`int(sin^(3//2)x+cos^(3//2)x)/(sqrt(sin^(3)x.cos^(3)x.sin(x+theta)))dx`

Text Solution

Verified by Experts

The correct Answer is:
`(2)/(costheta)sqrt(costhetatanx+sintheta)+c`
Promotional Banner

Similar Questions

Explore conceptually related problems

int sin^(5//2) x cos^(3) x dx=

int ( sin^(3)x+cos^(3)x)/(sin^(2)x cos^(2)x)dx=

int sin^(3)x cos x dx=

int sin^(3) x.cos^(2) x dx =

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

int_(pi//6)^(pi//3)(sin^(3)x)/(sin^(3)x+cos^(3)x)dx=

The integral int(sin^(2)xcos^(2)x)/((sin^(3)x+cos^(3)x)^(2))dx is equal to

int (sin^(3)x)/(sin^(2)xcos^(2)x)dx=

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

int_(pi//6)^(pi//3)(Sin^(3)x)/(Sin^(3)x+Cos^(3)x)dx=