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5.8.3 Integration

07F007 ^ODE_INT ( symb idnt → symb )
Integration with addition of a constant.
2C5006 ^IBP ( u'*v u → u*v -u*v' )
Internal integration by parts. If u is a constant return INTVX(u'*v)+u. If stack 2 is a list it must be of the form { olduv u'*v } then olduv will be added to u*v at stack level 2. This permits multiple IBP in algebraic mode, e.g.
IBP(ASIN(X)^2,X)
IBP(ANS(1),sqrt(1-X^2))
IBP(ANS(1),C) the last step with an integral
containing a cst C.
2D0006 ^PREVALext ( symb inf sup x → symb|x=sup - symb|x=inf )
Evaluates an antiderivative between 2 bounds Does not check for discontinuities of symb in this interval.
2D1006 ^WARNSING ( symb inf sup vx → symb inf sup vx )
Warns user for singularity.
2D2006 ^INText ( symb x → int[$,x, symb, xt] )
Return unevaluated integral.
2D3006 ^INT3 ( f(x) x y → F(y) where F'=f )
Undefined integration. No limit for underdetermined form.
3DD006 ^INTEGRext ( {} → prim )



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