Grade 11Integral Calculus

what is the integral of ((e^x)/(1+x^2))-((2x*e^x)/((1+x^2)^2)) ?

Seam Islam

8 Years agoGrade 11

8 Years ago

Dear student

we know

integral of

$\tiny \int$ e^x [f(x) + f ’(x)] dx = e^x f(x) + C

same case is here

if you look closely

(e^x)[1/(1+x^2) – 2x/(1+x^2)^2] $\tiny \int$ =

= (e^x)[1/(1+x^2) + C

Reagrds

Arun (askIITians forum expert)

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