How can I solve this integral function?












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$begingroup$


I want to find set of possible equations for $a(t), b(t)$ and $B_o(t)$ for which I would be able to integrate this function. (Later I have to choose from the possible set of functions for which $P(t)$ acts a certain way.)



$$P(t) = frac{1}{e^{int(a(t) + b(t))dt}} int e^{int(a(t) + b(t)) dt}B_0(t),dt$$



I have arrived at above equation after solving a linear equation. My question is how should i go about it? What topic should I read, or what software can I use to solve this equation?



Thank you!










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  • $begingroup$
    What do you mean by "be able to integrate"? Certainly, these integrals exist for any continuous functions $a,b,$ and $B_0$.
    $endgroup$
    – Eric Wofsey
    Jan 27 at 22:44
















0












$begingroup$


I want to find set of possible equations for $a(t), b(t)$ and $B_o(t)$ for which I would be able to integrate this function. (Later I have to choose from the possible set of functions for which $P(t)$ acts a certain way.)



$$P(t) = frac{1}{e^{int(a(t) + b(t))dt}} int e^{int(a(t) + b(t)) dt}B_0(t),dt$$



I have arrived at above equation after solving a linear equation. My question is how should i go about it? What topic should I read, or what software can I use to solve this equation?



Thank you!










share|cite|improve this question











$endgroup$












  • $begingroup$
    What do you mean by "be able to integrate"? Certainly, these integrals exist for any continuous functions $a,b,$ and $B_0$.
    $endgroup$
    – Eric Wofsey
    Jan 27 at 22:44














0












0








0





$begingroup$


I want to find set of possible equations for $a(t), b(t)$ and $B_o(t)$ for which I would be able to integrate this function. (Later I have to choose from the possible set of functions for which $P(t)$ acts a certain way.)



$$P(t) = frac{1}{e^{int(a(t) + b(t))dt}} int e^{int(a(t) + b(t)) dt}B_0(t),dt$$



I have arrived at above equation after solving a linear equation. My question is how should i go about it? What topic should I read, or what software can I use to solve this equation?



Thank you!










share|cite|improve this question











$endgroup$




I want to find set of possible equations for $a(t), b(t)$ and $B_o(t)$ for which I would be able to integrate this function. (Later I have to choose from the possible set of functions for which $P(t)$ acts a certain way.)



$$P(t) = frac{1}{e^{int(a(t) + b(t))dt}} int e^{int(a(t) + b(t)) dt}B_0(t),dt$$



I have arrived at above equation after solving a linear equation. My question is how should i go about it? What topic should I read, or what software can I use to solve this equation?



Thank you!







integration approximate-integration






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Jan 27 at 22:44









Eric Wofsey

190k14216349




190k14216349










asked Jan 27 at 21:57









Binamrata SharmaBinamrata Sharma

101




101












  • $begingroup$
    What do you mean by "be able to integrate"? Certainly, these integrals exist for any continuous functions $a,b,$ and $B_0$.
    $endgroup$
    – Eric Wofsey
    Jan 27 at 22:44


















  • $begingroup$
    What do you mean by "be able to integrate"? Certainly, these integrals exist for any continuous functions $a,b,$ and $B_0$.
    $endgroup$
    – Eric Wofsey
    Jan 27 at 22:44
















$begingroup$
What do you mean by "be able to integrate"? Certainly, these integrals exist for any continuous functions $a,b,$ and $B_0$.
$endgroup$
– Eric Wofsey
Jan 27 at 22:44




$begingroup$
What do you mean by "be able to integrate"? Certainly, these integrals exist for any continuous functions $a,b,$ and $B_0$.
$endgroup$
– Eric Wofsey
Jan 27 at 22:44










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