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Find the indefinite integral of the given function :                   (e^x) / x
Asked by shamiikhullah.akram18 | 31 Aug, 2019, 01:46: AM
answered-by-expert Expert Answer
e to the power of x equals 1 plus fraction numerator x over denominator 1 factorial end fraction plus fraction numerator x squared over denominator 2 factorial end fraction plus fraction numerator x cubed over denominator 3 factorial end fraction plus.... integral e to the power of x over x d x equals integral 1 over x open parentheses 1 plus fraction numerator x over denominator 1 factorial end fraction plus fraction numerator x squared over denominator 2 factorial end fraction plus fraction numerator x cubed over denominator 3 factorial end fraction plus.... close parentheses d x equals integral open parentheses 1 over x plus 1 plus fraction numerator x over denominator 2 factorial end fraction plus fraction numerator x squared over denominator 3 factorial end fraction plus.... close parentheses d x equals ln x plus fraction numerator x over denominator 1 factorial end fraction plus fraction numerator x squared over denominator 2 cross times 2 factorial end fraction plus fraction numerator x cubed over denominator 3 cross times 3 factorial end fraction plus.... equals ln x plus sum from n equals 1 to infinity of fraction numerator x to the power of n over denominator n times n factorial end fraction
Answered by Renu Varma | 03 Sep, 2019, 12:13: PM
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