JEE Main 2019 (Online) 9th January Morning Slot | Definite Integrals and Applications of Integrals Question 244 | Mathematics

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JEE Main 2019 (Online) 9th January Morning Slot

MCQ (Single Correct Answer)

-1

The value of $$\int\limits_0^\pi {{{\left| {\cos x} \right|}^3}} \,dx$$ is :

$$4 \over 3$$

$$-$$ $$4 \over 3$$

$$2 \over 3$$

JEE Main 2019 (Online) 9th January Morning Slot

MCQ (Single Correct Answer)

-1

The area (in sq. units) bounded by the parabolae y = x² – 1, the tangent at the point (2, 3) to it and the y-axis is :

$$56\over3$$

$$32\over3$$

$$8\over3$$

$$14\over3$$

JEE Main 2018 (Online) 16th April Morning Slot

MCQ (Single Correct Answer)

-1

If $$f(x) = \int\limits_0^x {t\left( {\sin x - \sin t} \right)dt\,\,\,} $$ then :

f'''(x) + f''(x) = sinx

f'''(x) + f''(x) $$-$$ f'(x) = cosx

f'''(x) + f'(x) = cosx $$-$$ 2x sinx

f'''(x) $$-$$ f''(x) = cosx $$-$$ 2x sinx

JEE Main 2018 (Online) 16th April Morning Slot

MCQ (Single Correct Answer)

-1

If the area of the region bounded by the curves, $$y = {x^2},y = {1 \over x}$$ and the lines y = 0 and x= t (t >1) is 1 sq. unit, then t is equal to :

$${e^{{3 \over 2}}}$$

$${4 \over 3}$$

$${3 \over 2}$$

$${e^{{2 \over 3}}}$$

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