Delvis integrasjon 

 

Delvis integrasjon 

> A:=Int(x^3*ln(x),x):
 

> DelvisIntegrasjon(A,ln(x));
 

 

Int(`*`(`^`(x, 3), `*`(ln(x))), x) = `+`(`*`(`/`(1, 4), `*`(ln(x), `*`(`^`(x, 4)))), `-`(Int(`+`(`*`(`/`(1, 4), `*`(`^`(x, 3)))), x)))
Int(`*`(`^`(x, 3), `*`(ln(x))), x) = `+`(`*`(`/`(1, 4), `*`(ln(x), `*`(`^`(x, 4)))), `-`(`*`(`/`(1, 16), `*`(`^`(x, 4)))), C)
 

> A:=Int(x*exp(x),x=1..3):
 

> DelvisIntegrasjon(A,x);
 

 

 

Int(`*`(x, `*`(exp(x))), x = 1 .. 3) = `+`(`*`(3, `*`(exp(3))), `-`(exp(1)), `-`(Int(exp(x), x = 1 .. 3)))
Int(`*`(x, `*`(exp(x))), x = 1 .. 3) = `+`(`*`(2, `*`(exp(3))))
Int(`*`(x, `*`(exp(x))), x = 1 .. 3) = 40.17107384