Home
Class 12
MATHS
Show : int(0)^((pi)/(2))sinxf(sin2x)dx...

Show :
`int_(0)^((pi)/(2))sinxf(sin2x)dx=int_(0)^((pi)/(2))cosxf(sin2x)dx`

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise EXERCISE 9B ( SHORT ANSWER TYPE QUESTIONS )|16 Videos

  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise EXERCISE 9B ( LONG ANSWER TYPE QUESTIONS )|17 Videos

  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise EXERCISE 9B ( MULTIPLE CHOICE TYPE QUESTIONS )|6 Videos

  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive (2016)|3 Videos

  • DEFINITE INTEGRAL AS AN AREA

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

Show that, int_(0)^((pi)/(2))f(sin2x)sinxdx=sqrt(2)int_(0)^((pi)/(4))f(cos2x)cosxdx

By applying the result int_(0)^((pi)/(2))f(cosx)dx=int_(0)^((pi)/(2))f(sinx)dx , evaluate int_(0)^((pi)/(2))sin^(2)xdxandint_(0)^((pi)/(2))cos^(2)xdx .

int_(0)^((pi)/(2))(cosxdx)/(1+sin^(2)x)

Prove that, int_(0)^(pi)f(sinx)dx=2int_(0)^((pi)/(2))f(sinx)dx .

int_(0)^((pi)/(2))log(sinx)dx=int_(0)^((pi)/(2))log(cosx)dx=(pi)/(2)log.(1)/(2)

Show that, int_(0)^((pi)/(2))(sin2x dx)/(sin^(4)x+cos^(4)x)=(pi)/(2)

Show that, int_(0)^(pi)xf(sinx)dx=(pi)/(2)int_(0)^(pi)f(sinx)dx .

If int_(0)^(pi) x f(sinx) dx=A int_(0)^((pi)/(2))f(sinx)dx , then the value of A is -

int _0^(pi/2) (sin^2x)/(sinx+cosx)dx

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