Properties of Definite Integrals

Author:Vinod Singh & Shweta Pawar
MHT-CET
IMPORTANT

Important Questions on Properties of Definite Integrals

MEDIUM
IMPORTANT

The equation -π4π4a|sinx|+bsinx1+cosx+cdx=0, where a, b, c are constants, gives a relation between

MEDIUM
IMPORTANT

If I1=0π2sinx-cosx1+sinxcosxdx, I2=02πcos6xdxI3=-π2π2sin3xdx, I4=01log1-xxdx, then

MEDIUM
IMPORTANT

Let fx be a function satisfying f'x=fx with f0=1 and gx be the function satisfying fx+gx=x2. The value of integral 01fxgxdx is equal to