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If I=int(-2)^(2) dx, then I equals...

If `I=int_(-2)^(2) dx`, then I equals

A

6

B

8

C

12

D

21

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • If I = int sec^(-1) sqrt(x) dx , then I equals

    A
    `x sec^(-1) sqrt(x) - log (1 + x) + C`
    B
    `sec^(-1) sqrt(x) - tan^(-1) sqrt(x) + C`
    C
    `x sec^(-1) sqrt(x) - sqrt(x-1) + C`
    D
    `x sec ^(-1) sqrt(x) + log (1 + x) + C`
  • If I=int(dx)/(x^(4)sqrt(a^(2)+x^(2))) , then I equals

    A
    `(1)/(a^(4))[(1)/(x)sqrt(a^(2)+x^(2))-(1)/(3x^(2))sqrt(a^(2)+x^(2))]+c`
    B
    `(1)/(a^(4))[(1)/(x)sqrt(a^(2)+x^(2))-(1)/(2sqrtx)(a^(2)+x^(2))^(3//2)]+c`
    C
    `(1)/(a^(4))[(1)/(x)sqrt(a^(2)+x^(2))-(1)/(3x^(3))(a^(2)+x^(2))^(3//2)]+c`
    D
    `(1)/(a^(4))[(1)/(x)sqrt(a^(2)+x^(2))-(1)/(3x^(3))sqrt(a^(2)+x^(2))]+c`
  • "If "I=int sqrt((5-x)/(2+x))dx, " then " I " equals"

    A
    `sqrt(x+2)sqrt(5-x)+3sin^(-1)sqrt((x+2)/(3))+C`
    B
    `sqrt(x+2)sqrt(5-x)+7sin^(-1)sqrt((x+2)/(7))+C`
    C
    `sqrt(x+2)sqrt(5-x)+5sin^(-1)sqrt((x+2)/(5))+C`
    D
    non of these
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