1. if the graph of the antiderivative g(x) of f(x)=- 1 xinx passes through (e in g(x) is 3. kx +In(sin x+cos x), then k is 2 If sinx+3cosx sinxcosx dx=- 2 3x If the graph of anti-derivative g(x) of (x-1)(x+2) intersect the line x = 2 at a point with ord then the term independent of x in g(x) is In X+1 4. If 2-1 dx=- a In x+ DOE +c, then a-b - ab is equal to 5. if fx-in(x+1+x) 1+x2 dx = A-1+x In (x+1+x)+Bx+c, then 3A2+5B2 A-B equal to (1-cose)2/7 6. If (1+cose)/7 b de=(tane)ba+c, then la- bl equals (where c is constant of integration and a, b = Z*) 1 7. If f xdx 1 = B+ (4x+1)6 A x C +d (where d is constant of integration and A, B, C = Z), th a, b Z') Ofer Compe Exa 11/10 8. The value of integral [(x+x)(x+2x110dx is (f(x))10 +c (where c is consta f(2) equals 11 9. Je** (x+x+2x)e* dx = f(x)+c (where c is constant of integration), then [f(1)] is greatest integer function) 10. If Sex 1 1-2x X dx = ex +c, where c is constant 1+x2 (1+x215) 1+x (1+x) of a is 11. If dx = a 6 + 2 -a 3 +c, where ke Z and c is const