Basic Info
How do you find an anti-derivative?
Power rule
∫-24x^5 dx
-4x^6 + C
Antiderivative of (sinx)dx
-cosx + C
∫^2↓0 6x dx
12
What is the general equation for finding a definite integral?
F(b)-F(a)
∫-3 dx
-3x + C
Antiderivative of sec^2(x)dx
tanx +C
∫^2↓-1 (7-3x) dx
33/2 (or 16.5)
What is a definite integral also known as?
Reimann Integral
∫ (−9x + 10x) dx
−3x +5x +C
Antiderivative of (1/x)dx
lnlxl +C
∫^3↓0 (-x^3 + 3x^2 -2) dx
3/4 (or 0.75)
What is the opposite of derivative?
indefinite integral
∫ −2x^−3 dx
1/x^2 + C
Antiderivative cos(3x)dx
sin(3x)/3 + C
∫^3↓-1 (-x^3 + 3x^2 +1) dx
12