Recent content by ddr

I hope to not seem to much silly but: log^2(x) and log(x)^2 are the same or not? thanx

Homework Statement 4 ∫ √x/(1+√x) 0 Homework Equations The Attempt at a Solution t=√x ; x=t^2 ; dx= 2t 2 ∫ (2t^2)/(1+t) 0 and now? thanx

Neutrino is right, the result is π - 2, but why does the book report a π/2 - 1 result?

Homework Statement π^2 4 ∫ COS(√x) dx 0 Homework Equations The Attempt at a Solution t=√x ; x=t^2 ; dx= 2t π 2 ∫ COSt · 2t dt = [SINt · 2t ] - ∫ 2SINt dt = π +2 0 yes but.. where is the mistake? 'cause the result...

Homework Statement ∫(√(3 - x^2), x, 0, 3/2) the integral of √(3 - x^2) with 0 extr inf and 3/2 extr sup Homework Equations The Attempt at a Solution i have to use the subsitution rule, i thought x= (1/√3) sin t any other hint? thanx

i can use the substitution rule, with u=4x^2?

Homework Statement integral defined in 0 (down) and 1 (up) of: (16x^4 - 4)/(4x^2+1) Homework Equations The Attempt at a Solution maybe the partition mode? who help me?

hi! who help me to find the antiderivative of: (x^3 + 3x^2)/(x^2 + 4x + 4) thanks