Find Fourier Transform of f(x) = 1-|x| in |x| less than 1

In the following video I have explained the Fourier Transform Properties.
   • #Fourier_transform || Fourier Transfo...  
FT modulation property - If F(s) =F[f(x)] then F[cos ax f(x)]=1 by 2[F(s+a)+F(s-a)]
   • FT modulation property - If F(s) =F[f...  
#fourier_cosine_transform Fourier Cosine transform of e^(-a^2x^2).- Problem 3
   • #fourier_cosine_transform Fourier Cos...  
Derivative of transform If F(s)=F[f(x)] then F[ x^{n}f(x)] =(-i)^n d^{n}F(s) by ds^{n}
   • Derivative of  transform If F(s)=F[f(...  
FT modulation property - If F(s) =F[f(x)] then F[cos ax f(x)]=1 by 2[F(s+a)+F(s-a)]
   • FT modulation property - If F(s) =F[f...  
In the following link, i have explained to find Fourier Transform of a-|x| and using inverse Fourier Transform to find some integral value.
   • #FourierTransform, Fourier Transform ...  
In the following link, I have explained Fourier Cosine transform of 1/\sqrt{x}
   • #Fouriertransform || Fourier Cosine  ...  
In the following link, I have explained Sine integral by an example Also using this i am evaluating given integral.
   • #Fouriersineintegral || Fourier sine ...  
In the following link, I have explained Convolution theorem by an example function.
   • #ConvolutionofFourierTransform || Ver...  
In the following link, I have explained Fourier Cosine transform of e^{-ax} and its Parseval's identity
   • #Fouriercosinetransform | | Fourier c...  
In the following link, I have explained Fourier transform of cos x in the interval [0,1]
   • #Fouriertransform | | Fourier transfo...  
In the following link, I have explained Fourier transform of e^{-a^2x^2}
   • #FourierTransform || Fourier Transfor...  
In the following link, i have explained Fourier transform of 1-x^2
   • #Fouriertransform  || Fourier transfo...