Home
Class 12
MATHS
Evaluate underset(0)overset(pi//2)int (...

Evaluate `underset(0)overset(pi//2)int (cos^(5//2)x)/(sin^(5//2)x=cos^(5//2)x)dx`

Text Solution

Verified by Experts

The correct Answer is:
`pi/4`
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS - II (B) MODEL PAPER 9

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - C (III. Long Answer type questions.)|7 Videos
  • MATHEMATICS - II (B) MODEL PAPER 9

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - C (III. Long Answer type questions.)|7 Videos
  • MATHEMATICS - II (B) MODEL PAPER 2

    VGS PUBLICATION-BRILLIANT|Exercise SECTION C|7 Videos
  • MATHEMATICS -II(B) MODEL PAPER 5

    VGS PUBLICATION-BRILLIANT|Exercise SECTION -C|7 Videos

Similar Questions

Explore conceptually related problems

Evaluate int_(0)^(pi//2) (cos^(5//2)x)/(sin^(5//2)x=cos^(5//2)x)dx

underset(0)overset(pi//2)(sin^(5)x)/(sin^(5)x+cos^(5)x) dx

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

Evaluate the following integrals (i) int_(0)^(pi/2)(cos^(5//2)x)/(sin^(5//2)x+cos^(5//2)x)dx

Find int_(0)^(pi//2) (sin^(5)x)/(sin^(5)x + cos^(5)x)dx

By using the properties of definite integrals, evaluate the integrals int_(0)^(pi/2)(cos^(5)xdx)/(sin^(5)x+cos^(5)x)

Evaluate the integrals . int_(0)^(pi//2) (sin^(2)x-cos^(2)x)/(sin^(3)x+cos^(3)x)dx

int_(0)^(pi//2) (Cos^(3//2)x)/(Cos^(3//2) x+Sin^(3//2)x)dx=

Evaluate the integrals . int_(0)^(pi//2) (sin^(5)x)/(sin^(5)x + cos^(5)x)dx

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