Question
Download Solution PDFEvaluate
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Integral property:
- ∫ xn dx =
+ C ; n ≠ -1 + C - ∫ ex dx = ex+ C
- ∫ ax dx = (ax/ln a) + C ; a > 0, a ≠ 1
- ∫ sin x dx = - cos x + C
- ∫ cos x dx = sin x + C
Integration by parts: Integration by parts is a method to find integrals of products. The formula for integrating by parts is given by:
⇒
where u is the function u(x) and v is the function v(x)
ILATE rule is Usually, the preference order of this rule is based on some functions such as Inverse, Logarithm, Algebraic, Trigonometric, and Exponent.
Calculation:
I =
I =
I =
I =
I =
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