Answers
A symmetric function, since it has the form However, the function is neither odd, nor even, so it is not symmetric. We can try to use the substitution rule to solve this problem Let u = x + 2. Differentiating each side, we have.
du = dx
The substitution rule appears bas though it may not work, Since we do not end up with a term that cancels (x + 1) out of the integral. To solve this integral the Equation u = x + 2 as x = u - 2. Before we substitute the equation into the integral, we must change the limits to terms of u. When x = 1, u = 3 and when x = -1, u = 1.
∴ The Definite integral is equal to
Refer the attachment for your answer :)
Note :-
I first calculated the respective indefinite integral , then apply the limits (:
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