Home
Class 12
MATHS
int(0)^((pi)/(2))(acos^(2)x+bsin^(2)x)dx...

`int_(0)^((pi)/(2))(acos^(2)x+bsin^(2)x)dx`

Text Solution

Verified by Experts

The correct Answer is:
`(pi)/(4)(a+b)`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

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

  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMINATION ( MULTIPLE CORRECT ANSWER TYPE )|5 Videos

  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise EXERCISE 9B (VERY SHORT ANSWER TYPE QUESTIONS)|20 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

int_(0)^((pi)/(4))(dx)/(acos^(2)x+bsin^(2)x)=

Evaluate : int_(-(pi)/(2))^((pi)/(2))(acos^(2)x+bsin^(3)x)dx

int_(0)^((pi)/(2))(cos^(2) x sin x)/(sqrt(1+cos^(2)x))dx

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

The value of int_(0)^(pi) (x)/(a^(2)cos^(2)x+b^(2)sin^(2)x)dx is equal to -

Prove that, int_(0)^((pi)/(2))cos^(n)x cos nx dx=(pi)/(2^(n+1)) .

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

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

Evaluate the following : int_(0)^(pi//2)(dx)/(a^(2)cos^(2)x+b^(2)sin^(2)x)

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