 e to the power a x sign b x taking this as v taking this as becomes e to the power a x sign v x by a minus b by a now start applying integration by parts here so u times integration of this will be e to the power a x by a minus b cos b x minus b sign b x into e to the power a x by become plus b by now what is this e to the power a x sign b x by a this b square by a square i times 1 plus b square by a square in consistency can I write this as a common denominator so it is e to the power a a sign b x minus b cos b x divided by a square a square gets cancelled so as a result i becomes e to the power a minus b useful because in a bigger problem you have to directly use such results simply please get the expression for the second integral e to the power a x now there is an ordering let us say I call this integral as which will make this as this a multiplied so p which is actually this is the result it is a really hard question yeah it is a really hard question in any it has to be written how is that minus yeah yeah yeah