Home
Class 12
MATHS
If n is a positive odd integer, then int...

If n is a positive odd integer, then `int |x^n| dx=`

A

`|(x^(n+1))/(n+1)|+c`

B

`(x^(n+1))/(n+1)+c`

C

`(|x^(n)|x)/(n+1)+c`

D

`(-|x^(n)|^(n))/(n+1)+c`

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INDEFINTE INTEGRAL

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE LEVEL-II)|20 Videos
  • INDEFINTE INTEGRAL

    FIITJEE|Exercise COMPREHENSIONS -I|1 Videos
  • INDEFINTE INTEGRAL

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE LEVEL-II)|4 Videos
  • HYPERBOLA

    FIITJEE|Exercise NUMERICAL BASED|4 Videos
  • MATHEMATICAL REASONING

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-2|18 Videos

Similar Questions

Explore conceptually related problems

If n is a positive odd integer,then int|x^(n)|dx=

By giving a counter example, show that the following statement is false. "If n is an odd positive integer, then n is prime."

Knowledge Check

  • If n is positive odd integer, then n^3-n is divisible by

    A
    32
    B
    24
    C
    18
    D
    15
  • If n is a positive integer then int_(0)^(1)(ln x)^(n)dx is :

    A
    `n!`
    B
    `(-1)^(n)n!`
    C
    `(-1)^(n+2)(n+1)!`
    D
    None of these
  • If n is an odd positive integer, then a^(n)+b^(n) is divisible by

    A
    a+b
    B
    a-b
    C
    `a^(2)+b^(2)`
    D
    none of these
  • Similar Questions

    Explore conceptually related problems

    If n is a positive integer and u_(n)=int x^(n)sqrt(a^(2)-x^(2))dx

    If n is positive integer, then the no. of terms in the expansion of (x+y+z)^n is

    If n is a positive integer,then the number of terms in the expansion of (x+a)^(n) is

    If n is positive integer, then the no. of terms in the expansion of (x+y+z+w)^n is

    If n is a positive integer,then (sqrt(3)+1)^(2n)-(sqrt(3)-1)^(2n) is (1) an irrational number (2) an odd positive integer (3) an even positive integer (4) a a rational number other than positive integers