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int(0)^(2) e^(x) dx...

`int_(0)^(2) e^(x) dx`

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Explore conceptually related problems

Prove that int_(0)^(2a) f(x) dx = 2int_(0)^(a) f(x) dx when f(2a -x) = f(x) and hence evaluate int_(0)^(pi) |cos x| dx .

int_(e)^(2) d^(x) dx as a limit of sum:

Knowledge Check

  • lim_(x rarr oo) (int_(0)^(2x) xe^(2)dx)/(e^(4x^(2))) equals :

    A
    0
    B
    `oo`
    C
    2
    D
    `(1)/(2)`

  • int_0^(oo) x e^(-x) dx=

    A
    1
    B
    0
    C
    -1
    D
    none of these

    • Similar Questions

    Explore conceptually related problems

    int_(-4)^(1) e^(x) dx .

    int_(4)^(5) e^(x) dx .

    Evaluate int_(0)^(1)e^(2-3x)dx as a limit of a sum.

    Prove that int_(0)^(a) f(x) dx = int_(0)^(a) f(a - x)dx and hence evaluate the following: (e) int_(0)^(2)xsqrt(2 - x) dx .

    Prove that int_(0 )^(a) f (x) dx = int_(0)^(a) f (a -x) dx hence evaluate int_(0)^(pi/2) ( cos^5 x)/( cos^2 x+ sinn ^5 x) dx

    Prove that int_(0)^(a) f(x) dx = int_(0)^(a) f(a - x)dx and hence evaluate the following: (f) int_(0)^(pi)(xdx)/(a^(2)cos^(2)x + b^(2)sin^(2)x)

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