Home
Class 12
MATHS
If n is even then int(0)^(pi//2) cos^(n)...

If n is even then `int_(0)^(pi//2) cos^(n)xdx` is ……………. .

A

`(n)/(n-1).(n-2)/(n-3).(n-4)/(n-5)…(pi)/(2)`

B

`(n-1)/(n).(n-3)/(n-2).(n-5)/(n-4)….(1)/(2)(pi)/(2)`

C

`(n)/(n-1).(n-2)/(n-3).(n-4)/(n-5)…(2)/(2).1`

D

`(n-1)/(n).(n-2)/(n-2).(n-5)/(n-4)…(2)/(3).1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER - 20 (UNSOLVED)

    FULL MARKS|Exercise PART - II (II. Answer any seven questions. Questions No. 30 is compulsory.)|8 Videos

  • SAMPLE PAPER - 20 (UNSOLVED)

    FULL MARKS|Exercise PART - III (III. Answer any seven questions. Questions No. 40 is compulsory.)|10 Videos

  • SAMPLE PAPER - 2

    FULL MARKS|Exercise PART -IV (Answer the questions)|11 Videos

  • SAMPLE PAPER - 5

    FULL MARKS|Exercise PART -IV|13 Videos

Similar Questions

Explore conceptually related problems

If n is odd then int_(0)^(pi//2)sin^(n)x dx is

int_(0)^((pi)/(2)) sin^7 xdx is :

Evaluate int_(0)^(pi)xsin^(3)xdx

int_(0)^((pi)/(2))sin^5 xdx= .

int_(0)^((pi)/(2)) e^(2x) cos xdx is :

int_(0)^((pi)/( 4)) cos^(3) 2x dx = "….........."

Evaluate int_(0)^((pi)/(4))sin^(2)2xdx

Choose the correct answer. if n is even Answer all the questions, int_(0)^((pi)/(2))sin^(n)xdx is ……

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

Evaluate int_(0)^(2pi)x^2 sin 2xdx .