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int(0)^(2)(3x^(2)+4x+3)dx=...

`int_(0)^(2)(3x^(2)+4x+3)dx=`

A

20

B

22

C

25

D

30

Text Solution

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Evaluate the definite integrals int_(0)^(2)(6x+3)/(x^(2)+4)dx

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Knowledge Check

  • int_(0)^(3)(2+x^(2))dx=

    A
    `underset(n to oo)lim(1)/(n)[2n+(1^(2)+2^(2)+…+(3n)^(2))/(n^(2))]`
    B
    `underset(n to oo)lim(1)/(n)[3n+(1^(2)+2^(2)+…+6n^(2))/(n^(2))]`
    C
    `underset(n to oo)lim(1)/(n)[6n+(1^(2)+2^(2)+…+9n^(2))/(n^(2))]`
    D
    `underset(n to oo)lim(1)/(n)[3n+(1^(2)+2^(2)+…+3n^(2))/(n^(2))]`

  • Which of the following are true: I : int_(0)^(4) sqrt(x^(2)-4x +4)dx=4 II : int_(0)^(2) sqrt(x^(2)-4x+4)dx=2 III : int_(2)^(4) sqrt(x^(2)-4x+4)dx=2

    A
    Only I, II
    B
    Only II, III
    C
    Both I and II
    D
    Only III

  • int_0^3 (2+x^2)dx=

    A
    `lim_(n to oo) 1/n [ 2n + (1^2 + 2^2 + ...+ (3n)^2)/(n^2)]`
    B
    `lim_(n to oo) 1/n [ 3n + (1^2 + 2^2 + ...+ 6n^2)/(n^2)]`
    C
    `lim_(n to oo) 1/n [ 6n + (1^2 + 2^2 + ...+ 9n^2)/(n^2)]`
    D
    `lim_(n to oo) 1/n [ 3n (1^2 + 2^2 + ...+ 3n^2)/(n^2)]`

    • Similar Questions

    Explore conceptually related problems

    int_(2)^(3) (2x)(1+x^2) dx

    int_(2)^(3) (2x)/(1+x^(2))dx

    int_(0)^(3)[x]dx=

    int (x^(3)+2x)/(x^(4)+4)dx=

    If I_(1) = int_(0)^(1) 2^(x^(2))dx, I_(2) = int_(0)^(1) 2^(x^(3))dx , I_(3) = int_(1)^(2) 2^(x^(2))dx, I_(4)=int_(1)^(2) 2^(x^(3))dx then

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