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Application of Integrals Miscellaneous Exercise on Chapter 8 Solutions
- Q1(i): Find the area under the given curves and given lines: (i) $y = x^2$, $x = 1$, $x = 2$ and $x$-axis
- Q1(ii): Find the area under the given curves and given lines: (ii) $y = x^4$, $x = 1$, $x = 5$ and $x$-axis
- Q2: Sketch the graph of $y = |x + 3|$ and evaluate $\int_{-6}^{0} |x + 3| dx$.
- Q3: Find the area bounded by the curve $y = \sin x$ between $x = 0$ and $x = 2\pi$.
- Q4: Area bounded by the curve $y = x^3$, the $x$-axis and the ordinates $x = – 2$ and $x = 1$ is
- Q5: The area bounded by the curve $y = x | x |$, $x$-axis and the ordinates $x = – 1$ and $x = 1$ is given by [Hint : $y = x^2$ if $x > 0$ and $y = – x^2$ if $x < 0$].
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