Number of integral values of k so that `int_(1)^(k)(1+(3x-2)/(2sqrt(x)))dx<4sqrt(k)`

Similar Questions

Explore conceptually related problems

Number of integral values of a for which int_(1)^(2)(a^(2)+4(1-a)x+4x^(2))dx<13

The value of the integral int_(0)^(a)(1)/(x+sqrt(a^(2)-x^(2)))dx

The value ofdefinite integral int_(-2)^(2)(x^(3)-x+1)/(sqrt(4-x^(2)))dx

The value of the integral int_(1)^(3)|(x-1)(x-2)|dx is

The value of the integral int_(-1)^(1)log(x+sqrt(x^(2)+1))dx is

The value of the integral int_(0)^(1)(sqrt(x))/(1+x^(2))dx is

The value of the integral int_(0)^(a) (1)/(x+sqrt(a^(2)-x^(2)))dx , is

The value of the integral I=int_(1)^(oo) (x^(2)-2)/(x^(3)sqrt(x^(2)-1))dx , is

Integrate int((x^(3)+3)dx)/(sqrt((x^(2)+1)))