answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ostrovityanka [42]
2 years ago
11

Integration by substitution is related to what differentiation​ method? What type of integrand suggests using integration by​ su

bstitution? Integration by substitution is related to what differentiation​ method? A. Integration by substitution is related to the exponential rule and logarithm rule. B. Integration by substitution is related to the power rule and quotient rule. C. Integration by substitution is related to the chain rule. D. Integration by substitution is related to the sum or difference rule.
Mathematics
2 answers:
xeze [42]2 years ago
6 0
Integration by substitution is an integration method meant to "undo" the chain rule for differentiation. This method is useful for some integrands containing compositions of functions.

For example, substitution is good for finding the antiderivative of 2x•cos(x^2). The quadratic function nested inside the cosine function suggests that substitution might be useful. And it is... the antiderivative is sin(x^2)+C

The answer is Choice C.
diamong [38]2 years ago
3 0

Answer:

C. Integration by substitution is related to the chain rule.

Step-by-step explanation:

In differentiation, when we want to differentiate a composite function, we use the chain rule.

In integration, to integrate a composite function, we use the integration by subtstitution method.

This means that the integration by substitution method is related to the chain rule of derivatives.

The correct answer is:

C. Integration by substitution is related to the chain rule.

You might be interested in
Using the quadratic formula to solve 4x2 – 3x + 9 = 2x + 1, what are the values of x? StartRoot 1 plus-or-minus StartRoot 159 En
castortr0y [4]

For this case we have that a quadratic equation is of the form:

ax ^ 2 + bx + c = 0

The roots are given by:

x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}

We have the following equation:

4x ^ 2-3x + 9 = 2x + 1\\4x ^ 2-3x-2x + 9-1 = 0\\4x ^ 2-5x + 8 = 0

We look for the roots:

x = \frac {- (- 5) \pm \sqrt {(- 5) ^ 2-4 (4) (8)}} {2 (4)}\\x = \frac {5 \pm \sqrt {25-128}} {8}\\x = \frac {5 \pm \sqrt {-103}} {8}

We have to:

i ^ 2 = -1

So:

x = \frac {5 \pm \sqrt {103i ^ 2}} {8}\\x = \frac {5 \pm i \sqrt {103}} {8}

We have two imaginary roots:

x_ {1} = \frac {5 \ + i \sqrt {103}} {8}\\x_ {2} = \frac {5 \ -i \sqrt {103}} {8}

Answer:

x_ {1} = \frac {5 \ + i \sqrt {103}} {8}\\x_ {2} = \frac {5 \ -i \sqrt {103}} {8}

8 0
2 years ago
Read 2 more answers
PLEASE HELP DUE TODAY ILL GIVE BRAINLIEST 1. An advertising company charges $40 per half-page advertisement and $75 per full-pag
Oksana_A [137]

Answer: inverse of given function = log(x)/log(3)

Step-by-step explanation: how to find the inverse of any function?

in the complete function, replace y with "x" and x with "y"then, solve the obtained equation from step 2 for yand, then the value obtained for "y" is the inverse required i.e. = f^{-1}(x)

now, we solve the problem:

given : - y = 3^x

replacing the value of "y" with "x", we get,

x = 3^y

to solve for "y" we should take the "logarithm" for both sides

log (x) = y log(3)

or y = log(x)/log(3)

or f^(-1) (x) = log(x)/log(3)

( I hope this helped <3 )

8 0
2 years ago
Which table describes the behavior of the graph of f(x) = 2x³ - 26x - 24?
Anna71 [15]
After you have plotted the graph of the polynomial, the x-intercepts of the given polynomial will be:
(-3,0),(-1,0) and (4,0)
therefore the interval will be:
(-∞,-3)-below, (-3,-1)-above,(-1,4)-below,(4,∞)-above
The answer is ]


4 0
2 years ago
Read 2 more answers
Twice a year, for all four years of college, you used your credit card to pay for books and supplies, which amounts to $516 a se
mixer [17]

Answer:

$11,728

Step-by-step explanation:

Twice a year, for 4 years is 8 times

516×8 = 4128

Yearly for 4 years is 4 times

700×4 = 2800

Every month for 4 years is 48 times

100×48 = 4800

Minimum expenditure:

4128 + 2800 + 4800 = $11,728

4 0
2 years ago
Add 4 to n then divide by 5
Ket [755]
The equation used for this is

\frac{(4+n)}{5}=

if you knew n then we could solve this equation 
4 0
1 year ago
Other questions:
  • 11. The equation T = 0.63s + 78 can be used to determine T, the temperature in degrees, inside an oven s seconds after the oven
    15·1 answer
  • Use the expression below to complete the following tasks. (3a2 - 5ab + b2) - (-3a2 + 2b2 + 8ab) What is the additive inverse of
    5·2 answers
  • HURRY!!! PLEASE HELP WITH QUESTIONS!!!! WILL MAKE BRAINIEST ANSWER!!!!
    12·2 answers
  • Absalom states that 0 is a rational number. Which is a correct explanation for this statement? The number 0 is a whole number, w
    9·2 answers
  • On a fishing trip, you catch two fish . The weight of the first fish is shown (1.2lb). The second fish weighs at least 0.5 pound
    5·1 answer
  • Write an equation for the line parallel to the given line that contains C.
    7·1 answer
  • Jonathan has 3/4 pound of grapes.how many 1/8pound servings can Jonathan make from his grapes
    15·1 answer
  • The manager of a bagel shop wants to add some new flavors that will appeal to his customers. Which surveying method is most like
    5·1 answer
  • The cost of coffee is determined by the type of coffee beans that are mixed together. The cost of a local mix of Arabica and Rob
    7·1 answer
  • Point F is on line segment EG given EG=5x + 7, EF=5x, and FG=2x - 7, determine the numerical length of FG
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!