JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Understanding +4 | -1

\left( { - 1,\,\,2} \right)

and

\left( {2,4} \right)

are two points on the curve

y = f\left( x \right)

and if

g\left( x \right)

is the gradient of the curve at point

\left( {x,y} \right)

, then the value of the integral

\int \limits_{ - 1}^2 \,\,g\,\,\left( x \right)\,\,dx

, is

View answer and explanation

Correct option: A

\mathrm{2}

Option A (2) is correct because the integral of the gradient

g(x)

is the difference in the function's values at the limits of integration,

f(2) - f(-1) = 4 - 2 = 2

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