Question
Download Solution PDFWhat is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Integration by parts: Integration by parts is a method to find integrals of products
The formula for integrating by parts is given by;
⇒ ∫ uv dx = u(x) ∫ v(x) dx - ∫ [u'(x) ∫ v(x) dx] dx
Where u is the function u(x) and v is the function v(x), and is chosen by following ILATE rule.
ILATE Rule: Usually, the preference order of this rule is based on some functions such as Inverse, Logarithm, Algebraic, Trigonometric and Exponent.
Calculation:
Given:
Let I =
Applying by parts rule, we get
I
I = (e - 0) - (e - 1)
I = 1
Hence the required value of integration is 1.
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