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.**

1. 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. Between y
= x^3 and y = −1 for x in [−1, 1]. (THE ANSWER IS 2 BUT I DONT
UNDERSTAND WHY)
2. Find the area of the indicated region. We suggest you graph
the curves to check whether one is above the other or...

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. HINT [See
Example 3.] Enclosed by y = −x and y = −x^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. Between y
= x2 − 5x + 2 and y = −x2 + 5x − 6 for x in [0, 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. Between y
= 2x2 + 6x − 2 and y = −x2 + 3x + 4 for x in [−2, 2]

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.
Between y = 2x2 +
6x − 2 and y =
−x2 + 3x + 4 for
x in [−2, 2]

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. Between y
= 2x2 + 5x − 1 and y = −x2 + 2x + 5 for x in [−2, 2]
27/2
Incorrect: Your answer is incorrect.

Find the area of the region enclosed by the curves
y=x2+2x, y=x2-6x+8 and the line y= -1.

1- Find the area enclosed by the given curves.
Find the area of the region in the first quadrant bounded on the
left by the y-axis, below by the line above left
by y = x + 4, and above right by y = - x 2 + 10.
2- Find the area enclosed by the given curves.
Find the area of the "triangular" region in the first quadrant that
is bounded above by the curve , below by the curve y...

1.Find the area of the region between the curves y= x(1-x) and y
=2 from x=0 and x=1.
2.Find the area of the region enclosed by the curves
y=x2 - 6 and y=3 between their
interaction.
3.Find the area of the region bounded by the curves
y=x3 and y=x2 between their interaction.
4. Find the area of the region bounded by y= 3/x2 ,
y= 3/8x, and y=3x, for x greater than or equals≥0.

Sketch the region enclosed by the given curves. Decide whether
to integrate with respect to x or y. Draw a
typical approximating rectangle and label its height and width. (Do
this on paper. Your instructor may ask you to turn in this
graph.)
y=4+2sqrtx , y=8/2+x/2
Then find the area S of the region.
S=

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