Mathematics

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

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
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 86

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