Question

for integrel ( f ) - ty ( b e )
[
int_{a}^{b} frac{f(x) d x}{(f(x)+(f(x)+a x+b)}
]
we have
( quad frac{b-a}{2} ) is the musuel
( therefore ) for ( int frac{left[x^{2}right] d x}{left[x^{2}-28 x+196right]+left[x^{2}right]} )
we thane
[
frac{10-4}{2}=frac{3 pi}{2}
]

# [x²]dx 53) The value of the integral ſhe where [x] denotes the greatest integer – 28x +196]+[x²] less than or equal to x, is: (April 2016) 2) 6 3) 7 4)3 1)

Solution