HARD
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If ƒx=x+22x+3 . Then ƒxx21/2dx is equal to

12g 1+2ƒx1-2ƒx-23h3ƒx+23ƒx-2+ c where -

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Important Questions on Indefinite Integration

EASY
If dxx+2x2+1=alog1+x2+btan-1x+15logx+2+C , then
MEDIUM
2x-1(x-1)(x+2)(x-3)dx=Alog|x-1|+Blog|x+2|+Clog|x-3|+K, then A, B, C are respectively
HARD
If xx2+1x-1dx=Alogx2+1+Btan-1x+Clogx-1+d, then A+B+C=
HARD

The integral(2sinθ-1)cosθ5-cos2θ-4sinθdθ  is equal to

(where C is a constant of integration)

HARD
Let Px=dxex+8e-x+4e-3x, Qx=dxe3x+8ex+4e-x and Rx=Px-2Qx. If Rx=12AB+2e-xC+K, then the value of A,B,C is
MEDIUM
For 'C' is an arbitrary constant, 2x-1(x-1)(x+2)(x-3)dx=
HARD
sinx + cosx2 - sin2xsin22xdx=
EASY
2ex+3e-x4ex+7e-xdx=114ux+vloge4ex+7e-x+C, where C is a constant of integration, then u+v is equal to
MEDIUM

Evaluate the following integral:

xdx(x-1)2(x+2)

MEDIUM
If 3x+1x-1x-2x-3dx =Alogx-1+Blogx-2+Clogx-3+C, then the values of A, B and C are respectively. Note: Base of logarithm is used as e.
MEDIUM
If dxx2-2x+102=Atan-1x-13+fxx2-2x+10+C, then (where C is a constant of integration)
MEDIUM
If 1x2+4x2+9dx=Atan-1x2+Btan-1x3+C, then A-B=