Class 12 Mathematics Chapter 8 Applications Of Integrals Quiz 1 (6 MCQs)

Quiz Instructions

Select an option to see the correct answer instantly.

1. The area of the region enclosed by the graphs of $y=e^{x^2}-2$ $y=\sqrt{4-x^2}$

Correct Answer: A) 5.050.

2. The region in the first quadrant enclosed by the graphs of $y=x$ $y=2\sin x$

Correct Answer: D) 6.678.

3. Calculate the work done in stretching a spring that follows Hooke's law, F(x) = 5x, from x = 0 to x = 4.

Correct Answer: B) 40.

4. Determine the total accumulated change in a quantity if its rate of change is given by f(t) = 6t-4 from t = 2 to t = 5.

Correct Answer: A) 51.

5. What is the area of the region between the graphs of $f\left(x\right)=8x+6$ $g\left(x\right)=x-x^2$

Correct Answer: B) 125/6.

6. The temperature in a room changes at a rate of $r\left(t\right)=\ln\left(t+1\right)\sin\left(t\right)$

Correct Answer: C) 19.571 degrees C.