integrate (x+1)sin(n* pi x) from -1 to 0 - Wolfram|Alpha

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Definite integral

integral_(-1)^0 (x + 1) sin(n π x) dx = (sin(π n) - π n)/(π^2 n^2)

Series expansion of the integral at n=0

-(π n)/6 + (π^3 n^3)/120 - (π^5 n^5)/5040 + O(n^6)
(Taylor series)

Big‐O notation »

Indefinite integral

integral(x + 1) sin(n π x) dx = sin(π n x)/(π^2 n^2) - (x cos(π n x))/(π n) - cos(π n x)/(π n) + constant

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