Home › AP EAPCET (Engineering) › Mathematics › Integral Calculus › Put t = ln x in the integral of (ln x)^3/x dx. R…
Put t = ln x in the integral of (ln x)^3/x dx. Result is
A(ln x)^4/4 + C
B(ln x)^4 + C
C(ln x)^3 ln x + C
D3(ln x)^2 + C
Answer & Solution
Correct answer: A. (ln x)^4/4 + C
Putting t = ln x gives dt = dx/x, so the integral becomes t^4/4.
Related questions
Differentiating the indefinite integral of f(x) givesBy parts, the integral of u dv/dx dx equalsIntegration by parts follows from which differentiation rule?For A(x) = area function of continuous f, the first fundamental theorem gives A'(x) =Given the velocity at every instant, which process recovers the position?The definite integral of sec^2 x between 0 and pi/4 isGiven that the integral of f from 2 to 5 is 7, the integral of f from 5 to 2 isUsing the property of f(a - x), the integral of sin x/(sin x + cos x) over [0, pi/2] is