∫13coslogxxdx is equal to
1
coslog3
sinlog3
π4
∫0π2sinx + cosx1 + sin2xdx is equal to
- π2
π2
π
C.
Let I = ∫π2sinx + cosx1 + sin2xdx= ∫0π2sinx + cosxsin2x + cos2x + 2sinxcosxdx= ∫0π2sinx + cosxsinx + cosx2dx= ∫0π2sinx + cosxsinx + cosxdx = ∫0π21dx= x0π2= π2
Probability P(A) = 0. 7, P(B) = 0.4, P(A ∩ B) = 0.3, then P(A ∩ B') is equal to
0.1
0.3
0.2
0.4
∫12ex1x - 1x2dx is equal to
e - e22
e22 - e
e22 + e
e22 - 2
Solution of dydx = 3x + y is
3x + y = c
3x + 3y = c
3x - y
3x + 3- y = c
Area of rhombus is ..., where diagonals are a→ = 2i^ - 3j^ + 5k^ and b→ = - i^ + j^ + k^
21.5
31.5
28.5
38.5
Degree and order of the differential equation d2ydx2 = dydx2 are respectively
1, 2
2, 1
2, 2
1, 1
Let ABCD be a parallelogram whose diagonals intersect at P and O be the origin, then OA→ + OB→ + OC→ + OD→
OP→
2OP→
3OP→
4OP→