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Mathematics Question on Continuity and differentiability

Let f be a differentiable function such that x2 f(x) - x = 4∫0xtf(t)dt,f(1)=23.  Then 18f(3)is equal to4 \int^x_0tf(t)dt,f(1)=\frac{2}{3}. \;\text{Then 18f(3)is equal to}

A

150

B

160

C

180

D

210

Answer

160

Explanation

Solution

The Correct Option is (B):160