Mathematics

Show that:
$$\int_{ - 1}^1 {{x^{17}}{{\cos }^{4\,}}xdx = 0} $$.


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SOLUTION
Now,
$$\displaystyle\int\limits_{-1}^{1}x^{17}\cos^4 x dx=0$$. [ Using the property of definite integration of odd function]
Since the function $$f(x)=x^{17}\cos^4 x$$ is an odd function as $$f(-x)=-f(x) $$ for all $$x$$.
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Single Correct Medium Published on 17th 09, 2020
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