Higher mathematics

Integrals

Definite integrals of common functions.

Higher mathematics

Power function definite integral

∫ₐᵇxⁿdx = (bⁿ⁺¹−aⁿ⁺¹)/(n+1)→
Higher mathematics

Linear function definite integral

∫ₐᵇ(kx+c)dx→
Higher mathematics

Quadratic definite integral

∫(Ax²+Bx+C)dx→
Higher mathematics

Exponential definite integral

∫ₐᵇeᵏˣdx = (eᵏᵇ−eᵏᵃ)/k→
Higher mathematics

Sine definite integral

∫ₐᵇsin x dx = cos a − cos b→
Higher mathematics

Average value of a linear function

f̄ = (1/(b−a))∫ₐᵇ(kx+c)dx→
Higher mathematics

Indefinite expression integral

∫f(x)dx→
Higher mathematics

Definite expression integral

∫ₐᵇf(x)dx→
Higher mathematics

Improper expression integral

Improper expression integral: calculated from the entered values→
Higher mathematics

Double integral over a rectangle

∫ₐᵇ∫꜀ᵈf(x,y)dydx→
Higher mathematics

Scalar line integral

∫C f(x,y)ds→
Higher mathematics

Vector line integral

∫C Pdx + Qdy→