Ncert Solutions for Class 12
Application of Integrals
Application of Integrals
1. Find the area under the given curves and given lines:
(i) (y=x^2), x=1, x=2 and x-axis
(ii) (y=x^4), x=1, x=5 and x-axis
2. Sketch the graph of (y=left|x+3right|) and evaluate (int_{-6}^{0}left|x+3right|dx).
3. Find the area bounded by the curve (y=sinx) between x=0 and (x=2pi).
Choose the correct answer in the following Exercises from 4 to 5.
4. Area bounded by the curve (y=x^3), the x-axis and the ordinates x=–2 and x=1 is:
(A) –9 (B) (frac{-15}{4}) (C) (frac{15}{4}) (D) (frac{17}{4})
5. The area bounded by the curve y=x|x|, x-axis and the ordinates x=–1 and x=1 is given by:
(A) 0 (B) (frac{1}{3}) (C) (frac{2}{3}) (D) (frac{4}{3})
