integration by parts method

evaluate integral of { sqrt{1+x^2} } / {x^2} and integral of (e^(ax) )  cosbx  using integration by parts



evaluate integral of { sqrt{1+(x^2)} } / {x^2} using integration by parts
integral of (e^(ax) )  cosbx using integration by parts

sqrt{1+(x^2)}as the first function and {1/ (x^2)} as
the second function then apply integration by parts
integration formula:

integration formula

integration by parts method


integral of (e^(ax) )  cosbx using integration by parts
Take the question as I
take cosbx as the first function or vice versa
apply integration by parts method to I
simplify and in the second integral
take sin bx as the first function and
again apply integration by parts method
simplify, the last integral that you get
will the same as I. Change the integral
to I and solve the equation for I.
integration by parts method
integration by parts method

other questions and problems:

*integral calculus integration formula

trigonometric identity and ratio of  certain standard angles

*list of differentiation formula     *integral calculus integration formula
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