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" 5."x^(2)e^(-3x)...

" 5."x^(2)e^(-3x)

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" If " g(x) = |{:(a^(-x),,e^(x log _(e)a),,x^(2)),(a^(-3x),,e^(3x log_(e)a),,x^(4)),(a^(-5x),,e^(5x log _(e)a),,1):}| then

" If " g(x) = |{:(a^(-x),,e^(x log _(e)a),,x^(2)),(a^(-3x),,e^(3x log_(e)a),,x^(4)),(a^(-5x),,e^(5x log _(e)a),,1):}| then

" If " g(x) = |{:(a^(-x),,e^(x log _(e)a),,x^(2)),(a^(-3x),,e^(3x log_(e)a),,x^(4)),(a^(-5x),,e^(5x log _(e)a),,1):}| then

If f(x)=|{:(2^(-x),e^(x log_(e)2),x^(2)),(2^(-3x),e^(3x log_(e)2),x^(4)),(2^(-5x),e^(5x log_(e)2),1):}| then show that f(x) is symmetric about origin

Find the coefficient of x^(5) in the expansion of ((2 + 3x + 4x^(2)))/(e^(x))

Find the coefficient of x^(5) in the expansion of ((2 + 3x + 4x^(2)))/(e^(x))

If f(x)=|(2^(-x),e^(xlog_(2)2),x^(2)),(2^(-3x),e^(3xlog_(e)2),x^(4)),(2^(-5x),e^(5xlog_(e)2),1)| , then a) f(x) + f(-x) = 0 b)f(x) - f(-x) =0 c)f(x) + f(-x)=2 d)None of these

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int (e^(4x)-2e^(3x)+5e^(x)-2)/(e^(x)+1)dx