" (c) "4(2-x)=8

[int((x+x^(3))^(1/3))/(x^(4))dx" is equal to "],[[" (1) "(3)/(8)((1)/(x^(2))-1)^(4/3)+c," (2) "-(3)/(8)[(1+(1)/(x^(2)))^(4/3)]+c],[" (3) "(1)/(8)(1+(1)/(x^(2)))^(4/3)+c," (4) "(1)/(8)((1)/(x^(2))-1)^(4/3)+c]]

If I_n=intsin^n xdx ; n in N , then 5I_4-6I_6 is equal to 1. sinx(cosx)^5+c 2. sin2xcos2x+c 3. (sin2x)/8(cos^2 2x+1-2cos2x)+c 4. (sin2x)/8(cos^2 2x+1+2cos2x)+c

Solve the following inequalities. (a) |2x-3| lt 1, (b) (x-2)^(2) ge 4 , (c) x^(2) ge 4 , (c) x^(2)+2x-8 le 0 , (d) |x^(2) -7x+12| gt x^(2)-7x+12 .

If f(x)=x^2+4x-5 and A=[(1,2),(4,-3)] then f(A)= (A) [(0,-4),(8,8)] (B) [(0,-4),(8,8)] (C) [(1,1),(1,0)] (D) [(8,4),(8,0)]

If x+\ sqrt(15)=4, then x+1/x= (a)2 (b) 4 (c) 8 (d) 1

If (x-2)/3=(2x-1)/3-1, then x= (a) 2 (b) 4 (c) 6 (d) 8

If -3/4=6/x , then x= (a)-8 (b) 4 (c)-4 (d) 8

If -3/4=6/x , then x= (a)-8 (b) 4 (c)-4 (d) 8

If x=2\ \ and y=4, then (x/y)^(x-y)+\ (y/x)^(y-x)= (a) 4 (b) 8 (c) 12 (d) 2

The minimum value of f(x)=x^(4)-x^(2)-2x+6 is (a) 6 (b) 4 (c) 8 (d) none of these