Find a function f such that f'''(x)=\frac{1}{\sqrt{1+\sin^{2]x}}. (This problem is supposed to be easy; don't misinterpret the word "find".)

Jaya Legge

Jaya Legge

Answered question

2021-06-25

Find a function f such that f(x)=11+sin2x. (This problem is supposed to be easy; don't misinterpret the word "find".)

Answer & Explanation

Willie

Willie

Skilled2021-06-26Added 95 answers

If f(x)=g(x) then f(x)=g(x)dx
Thus,
(f(x))=11+sin2(x)
f(x)=(1)11+sin2+(x)dx
The above equation, can be written as:
(f(x))=11+sin2(x)dx
So,
f(x)=(1)11+sin2(x)dxdx
Now, from (1) we get
f(x)=11+sin2(x)dxdxdx

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