Answer:
Step-by-step explanation:
<u>Fundamental Theorem of Calculus</u>
If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a <u>constant of integration</u>.
Increase the power by 1, then divide by the new power.
Given <u>indefinite integral</u>:
To integrate the given integral, use Integration by Parts:
Therefore:
Learn more about integration here:
brainly.com/question/27805589
brainly.com/question/27983581
brainly.com/question/27759474
Answer:
y=x-3
Step-by-step explanation:
slope intercept form is y=mx+b
b is y intercept
so we plug the coordinate into the equation
-3=(0)+b
-3=b
so y intercept is -3
so we then write our equation which is,
y=x-3
Answer:
0
Step-by-step explanation:
4x + 10 - 30
4 × 5 + 10 - 30
20 +10 - 30
30 - 30
0
Step-by-step explanation:
dy/dx
= d/dx [x / (1 - x²)]
= [(1 - x²)(1) - (x)(-2x)] / (1 - x²)²
= (1 + x²) / (1 - x²)².
When dy/dx = 1, (1 + x²) / (1 - x²)² = 1.
=> 1 + x² = 1 - x²
=> 2x² = 0, x = 0.
Also when x = 0, y = (0) / [1 - (0)²] = 0.
Hence the coodinates is (0, 0).