grandes-ecoles 2015 QIV.A.1

grandes-ecoles · France · centrale-maths1__mp Integration using inverse trig and hyperbolic functions
Justify the existence of the integral $\int_1^{+\infty} \frac{\mathrm{d}t}{t\sqrt{t^2-1}}$ and show that its value is $\frac{\pi}{2}$. 
Justify the existence of the integral $\int_1^{+\infty} \frac{\mathrm{d}t}{t\sqrt{t^2-1}}$ and show that its value is $\frac{\pi}{2}$.
Paper Questions
QI.A.1 QI.A.2 QI.A.3 QI.A.4 QI.A.5 QI.B.1 QI.B.2 QI.B.3 QI.B.4 QI.C.1 QI.C.2 QI.C.3 QI.C.4 QII.A.1 QII.A.2 QII.A.3 QII.A.4 QII.B.1 QII.B.2 QII.B.3 QII.B.4 QIII.A QIII.B QIII.C.1 QIII.C.2 QIII.C.3 QIV.A.1 QIV.A.2 QIV.B.1 QIV.B.2 QIV.B.3 QIV.C.1 QIV.C.2 QIV.C.3 QIV.D.1 QIV.D.2 QIV.D.3 QV.A.1 QV.A.2 QV.A.3 QV.B.1 QV.B.2