JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

Let

f\left( x \right)

be a function such that,

f\left( 0 \right) = f'\left( 0 \right) = 0,\,\,f''\left( x \right) = {\sec ^4}\,\,x\,\, + \,\,4

, then the function is

View answer and explanation

Correct option: B

\frac{2}{3}\,\,\log \,\,|(\sec \,\,x)|\,\, + \,\,\frac{1}{6}\,\,{\tan ^2}x + 2{x^2}

Option B (

\frac{2}{3}\,\,\log \,|(\sec \,x)\,|\,\,+\,\,\frac{1}{6}\,\,{\tan ^2}x + 2{x^2}

) is correct because it is the result of integrating the given second derivative and applying the initial conditions.

More Questions from INDEFINITE INTEGRATION