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14 cards from this deck
Specific numerical value
Net area under curve from x=ax=ax=a to x=bx=bx=b
∫abf(x) dx=F(b)−F(a)\int_a^b f(x) \, dx = F(b) - F(a)∫abf(x)dx=F(b)−F(a)
Antiderivative of f(x)f(x)f(x)
Integrate absolute value of function
∫ab[f(x)+g(x)] dx=∫abf(x) dx+∫abg(x) dx\int_a^b [f(x)+g(x)] \, dx = \int_a^b f(x) \, dx + \int_a^b g(x) \, dx∫ab[f(x)+g(x)]dx=∫abf(x)dx+∫abg(x)dx
∫abc⋅f(x) dx=c⋅∫abf(x) dx\int_a^b c \cdot f(x) \, dx = c \cdot \int_a^b f(x) \, dx∫abc⋅f(x)dx=c⋅∫abf(x)dx
∫abf(x) dx=−∫baf(x) dx\int_a^b f(x) \, dx = -\int_b^a f(x) \, dx∫abf(x)dx=−∫baf(x)dx
000
∫abf(x) dx+∫bcf(x) dx=∫acf(x) dx\int_a^b f(x) \, dx + \int_b^c f(x) \, dx = \int_a^c f(x) \, dx∫abf(x)dx+∫bcf(x)dx=∫acf(x)dx
Limits
Always cancels
−cos(x)+C-\cos(x) + C−cos(x)+C
Displacement, work, energy
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