Hi there! Assume that this is your question.
Before we get to Integral, you have to know Differentiation first. If you know how to differentiate a polynomial function then we are good to go in Integral!
We call the function that we are going to integrate as Integrand. Integrand is a function that's differentiated. In Integral, Integrating requires you to turn the function from differentiated to an original function.
For Ex. If the Integrand is x² then the original function is (1/3)x³ because when we differentiate (1/3)x³, we get x²
So when we Integrate, make sure to convert Integrand as in original function. From the question, our Integrand is x²+2x. The function is in differentiated form. We know that x² is from (1/3)x³ and 2x comes from x²
Thus,
Normally, if it's an indefinite Integral then we'd just put + C after (1/3)x³+x² but since we have a and b, it's a definite Integral.
Define F(x) as our anti-diff
From our problem, substitute x = a in then subtract with the one that substitute x = b
Simplify as we get:
Answer:
3a + 10 = 52
Step-by-step explanation:
- the coefficient is a numerical constant placed before and mulitplying the variable (3).
- the variable is the unknown value of the equation, generally represented by a letter (a).
- the operator is any symbol that indicates an operation to be performed (+, addition).
- the constant is a fixed numerical value (10).
- the total is the resulting value of the equation (52).
2/8 or 1/4. 1/4 is just simplified. I hope it helps!
Yes. This is because you take the two fractions and find a common denominator. The common denominator being 12 so then you have 39/12 and 8/12. If each scarf she makes is 8/12 yards of fabric she should have enough to make two scarves.