y = ∫2x dx = x^2 + C
∫(2x^2 + 3x - 1) dx = (2/3)x^3 + (3/2)x^2 - x + C
where C is the constant of integration.
2.2 Find the area under the curve:
The area under the curve is given by:
Solution:
y = Ce^(3x)
∫[C] (x^2 + y^2) ds
y = x^2 + 2x - 3
from x = 0 to x = 2.
where C is the curve:
The gradient of f is given by:
dy/dx = 3y
2.1 Evaluate the integral:
Solution:
y = ∫2x dx = x^2 + C
∫(2x^2 + 3x - 1) dx = (2/3)x^3 + (3/2)x^2 - x + C
where C is the constant of integration.
2.2 Find the area under the curve:
The area under the curve is given by:
Solution:
y = Ce^(3x)
∫[C] (x^2 + y^2) ds
y = x^2 + 2x - 3
from x = 0 to x = 2.
where C is the curve:
The gradient of f is given by:
dy/dx = 3y
2.1 Evaluate the integral:
Solution: