Sovling integrals: non-algebraic???

• To: mathgroup at smc.vnet.net
• Subject: [mg35369] Sovling integrals: non-algebraic???
• From: sirepumpkin at hotmail.com (Björn)
• Date: Tue, 9 Jul 2002 06:51:10 -0400 (EDT)
• Approved: Steven M. Christensen <steve@smc.vnet.net>, Moderator
• Sender: owner-wri-mathgroup at wolfram.com

```Hello!

I can't make Mathematica solve an expression for a variable which is
inside an integral. Integrals are of the form:
Integrate[f, {x, xmin, xmax}]

And my expression is of the kind:
Solve[Integrate[(c x^d), {x, a, b}] == y, d]

Now, Mathematica can solve for a, b and c. But it cannot solve for d.
Why?

It gives me the message:
"The equations appear to involve the variables to be solved for in an
essentially non-algebraic way."

If I try SolveAlways[Integrate[c x^d, {x, a, b}] == y, d],
I get the message:
"The expression (a^(1 + d)) involves unknowns in more than one
argument, so inverse functions cannot be used."

(It isn't mathematically impossible, right?)

Most thankful for any help!

```

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