Show that the statement if `x^(5)+16x=0` then `x=0` is true by (i) Direct method (ii) Method of contrapositive and (iii) Method of contradiction.

Show that the statement p: If x is a real number such that x^(3)+4x=0 , then x is 0 is true by (i) Direct method (ii) Method of contradiction (iii) Method of contrapositive

Show that the statement p: ''If x is a real number such that x^(3) + 4x = 0 , then x is 0'' is true by (i) direct method, (ii) method of contradiction, (iii) method of contrapositive

Show that the following statement is true by the method of contrapositive. p: If x is an integer and x2 is even, then x is also even.

Check the validity of the statements given below by the method given against it: q: If n is a real number with ngt3 , then n^(2)gt9 . (by contradiction method)

Check the validity of the statements given below by the method given against it: p: The sum of an irrational number and a rational number is irrational (by) contradiction method)

Solve the equation 2x^(2)-5x+3=0 by the method of completing the square.

State which of the following statement are true. (i) {}=phi (ii) phi=0 (iii) 0={0}

Method of integration by parts : int tan^(-1)x dx=....

Method of integration by parts : int(x-sinx )/(1-cosx)dx=....

Method of integration by parts : inte^(x)sin x cos x dx=...+c