Question

4. Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. (THE ANSWER IS 8/15, BUT I KEEP GETTING NEGATIVE -8/15, PLEASE HELP!) Enclosed by y = −x4 + x2 and y = −x2 + x4

Answer 1

Step 1: Find the points of intersection of two curves

Hence the points are -1 and 1

Since the curve y=x^2 - x^4 is over y=x^4-x^2, hence the area can be computed using the formula

You are mostly subtracting curves wrongly leading to -8/15 as the answer

Note - Post any doubts/queries in comments section.