Word Count : 318

---

Given Question - Let $f:[0,5] \to \mathbb{R}$ be a function defined by $$f(x) = 2x^{2} + 3x + 5, \quad x \in [0,5].$$ Show that f is Riemann integrable using both definitions. Also, verify that the results of both definition match. # Solution Let $f:[0,5]\to\mathbb R$ be $f(x)=2x^{2}+3x+5.$ ## 1. Riemann integrability by _________ __________ _________ ________ ________ _________.
___ _____ ______ ________ _____ _______.
________ _________ __________ __________ ___ ___ ____.
_______ ___ ______ _________ ________ ________ ___ ___ _________ __________.
________ ____ _______ ________ _______ __________.
__________ ______ __________ ____ ________ _____ _______ ____ ________ _____ ______ ______.
___ ______ ______ ______ _______ _______ _______ ___ __________ _____ ______ ____.
______ __________ ________ ________ ___ ______ ___ ___ ________ ___.
___ _________ ____ ________ _____ ___ __________ __________ __________ ______ _________.
_______ _________ __________ __________ ________.
_______ _______ ________ ___ _______ ____ ___ ___.
______ ________ ___ _____ ________ ____ _____ _______.
______ _____ _________ __________ ________ ____ ______ ________ ___ ________ _____ ____.
_____ _________ _________ ________ ______.
_____ _______ __________ _________ ______ ____ ________ __________ _______ ___ __________.
_______ _______ _____ _________ __________.
_________ _________ ______ ___ _________ ______.
____ __________ ____ _________ _______ _________ __________.
_________ ______ _________ _____ ____ _____ _________ _______.
________ ________ __________ _________ _______ ________ __________ _________ __________ _____.
_______ __________ __________ ______ ___.
_________ ______ ____ ______ _____ _________.
__________ ___ _____ ______ ______ ______.
______ ___ ___ _________ ______ __________ _______ _______ ________.
_______ _______ ___ ___ ________.
______ ______ ___ _________ ___ _______ ________ ___ ________ ___.
____ __________ _________ ______ ______ _____ _________.
__________ ______ ___ ________ ________ _________ ___ ______ ________ ____ ___.
_______ ________ ___ __________ _________.
____ ________ _______ _______ _____ ____ ________ _______ ______ ______ _________.
___ ____ _____ ________ ________ ___ ______.
_______ ________ ____ _________ _________ _______ ________.
_____ __________ _________ ______ ______ ___.
__________ _______ ____ __________ ___.
Get Full Answer on WhatsApp