JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

The area bounded by the

x

-axis, the curve

y=f(x)

and the lines

x=1, x=b

is equal to

\sqrt{b^2+1}-\sqrt{2}

for all

b>1

, then

f(r)

View answer and explanation

Correct option: D

\frac{x}{\sqrt{1+x^2}}

Option D (

\frac{x}{\sqrt{1+x^2}}

) is correct because it is the derivative of

\sqrt{x^2+1}

, which is obtained by differentiating the given integral equation with respect to b.

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