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f(x)=(1-9x^2)^(1/2)−6−5−4−3−2−10123456−3-2.5−2-1.5−1-0.500.511.522.53xy

Exercise

∫013(1−9x2)dx\int_0^{\frac{1}{3}}\left(\sqrt{1-9x^2}\right)dx

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Final answer to the exercise

(12arcsin⁡(3⋅(13))+32⋅131−9⋅(13)2−(12arcsin⁡(3⋅0)+0(32)1−9⋅02))13\left(\frac{1}{2}\arcsin\left(3\cdot \left(\frac{1}{3}\right)\right)+\frac{3}{2}\cdot \frac{1}{3}\sqrt{1-9\cdot \left(\frac{1}{3}\right)^2}-\left(\frac{1}{2}\arcsin\left(3\cdot 0\right)+0\left(\frac{3}{2}\right)\sqrt{1-9\cdot 0^2}\right)\right)\frac{1}{3}

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∫013 (√1−9x2)dx
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