" Find the integrals of "t

Find integrals of given functions int(tsqrt(t) + sqrt(t))/(t^2) dt

Find the number of integral solutions of equation x+y+z+t=29, when x >= 1, y >= 2, z>=3 and t >= 0

A chordis drawn from a point P(1,t) to the parabola y^(2)=4x which cuts the parabola at A and B.If PA.PB=3|t|, then find the possible integral value of t.

Evaluate the following integrals: int log (5+t) dt

Evaluate the following integrals using properties of integration : int_(0)^(sin^(2)x) sin^(-1) sqrt(t) dt + int_(0)^(cos^(2)x)sqrt(t) dt