Home › TS EAMCET › Mathematics › Integral Calculus › With f = 1/x and x > 0, e^x (f + f') integrates to
With f = 1/x and x > 0, e^x (f + f') integrates to
Ae^x ln x + C
Be^x (1 + x) + C
Ce^x/x^2 + C
De^x/x + C
Answer & Solution
Correct answer: D. e^x/x + C
With f(x) = 1/x, f'(x) = -1/x^2, so the form e^x (f + f') integrates to e^x/x.
Related questions
Integration by substitution is the counterpart of which differentiation rule?By the LIATE rule of thumb, which kind of function is chosen first as u in integration by In which year did Brook Taylor first publish integration by parts?Darboux sums choose Riemann tags at theIn the integral of f(x) dx, the function f(x) is called theWhich Chinese mathematician of the 3rd century AD used exhaustion to find the area of a ciWhich mathematician first printed the term integral, in Latin, in 1690?Who introduced the notation for the indefinite integral in 1675?