Evaluate the integral: ∫ e 2 ln ( x 2+1) dx

Question

Evaluate the integral: ∫ e 2 ln ( x 2+1) dx (A) (1/5) x5+(3/2) x3+x+C (B) 5 x5+3 x3+x+C (C) (1/5) x5+(2/3) x3+x+C (D) 2 x + C

Tardigrade Admin · Accepted Answer

∫ e 2 ln ( x 2+1) dx =∫ e ln ( x 2+1)2 dx =∫( x 2+1)2 dx =∫( x 4+2 x 2+1) dx =(1/5) x 5+(2/3) x 3+ x + C

Q. Evaluate the integral: $\int e^{2 l n (x^{2} + 1)} d x$