HARD
JEE Main
IMPORTANT
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Let P(x) be a real polynomial of degree 3 which vanishes at x=-3. Let P(x) have local minima at x=1, local maxima at x=-1 and -11Pxdx=18, then the sum of all the coefficients of the polynomial P(x) is equal to ?

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Important Questions on Definite Integration

HARD
JEE Main
IMPORTANT
If -aax+x-2dx=22, a>2 and x denotes the greatest integer x, then a-ax+xdx is equal to
HARD
JEE Main
IMPORTANT
Let fx be a differentiable function defined on 0, 2 such that f'x=f'2-x for all x0,2,f0=1 and f2=e2. Then the value of 02fxdx is
MEDIUM
JEE Main
IMPORTANT
The value of the integral, 13x2-2x-2dx, where x denotes the greatest integer less than or equal to x, is
HARD
JEE Main
IMPORTANT
The value of -11x2ex3dx, where t denotes the greatest integer t, is :
MEDIUM
JEE Main
IMPORTANT
The value of n=1100n-1nex-xdx, where x is the greatest integer x, is: