Find the equation of the tangent to the curve y = f(x) at x…

Maths Definite Integral and Area Under Curves General Subjective Type

Published on: August 14, 2026

Find the equation of the tangent to the curve y = f(x) at x = 1, where

f(x) = dt

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The correct answer is:

CHECK THE SOLUTION.

Sol. We have,

y = f(x) = dt

∴ = (x 3 ). – (x 2 ).

⇒ = –

⇒ = – =

Clearly, y = 0 for x = 1

So, the equation of the tangent at (1, 0) is

y – 0 = (x –1) or, x – y –1 = 0

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