How to solve designed by Sarah Marriott math problems
1 answer:
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for all
in [-3, 0], so
is non-decreasing over this interval, and in particular we know right away that its minimum value must occur at
.
From the plot, it's clear that on [-3, 0] we have . So
for some constant . Given that
, we find that
so that on [-3, 0] we have
and
Answer:
x³ sin(x)
Step-by-step explanation:
Tabular method is a special form of integration by parts. It works by taking derivatives of u and integrals of dv. You multiply diagonally, then sum the results, alternating the signs.
The important thing to note is that this will produce an antiderivative only if the derivatives of u eventually become 0. So the correct choice is x³ sin(x), because the derivatives of x³ eventually becomes 0:
d/dx (x³) = 3x²
d/dx (3x²) = 6x
d/dx (6x) = 6
d/dx (6) = 0
