Final answer to the problem
$\frac{1}{\pi }\sin\left(\pi \cdot 1\right)- \left(\frac{1}{\pi }\right)\sin\left(\pi \cdot 0\right)$
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Step-by-step Solution
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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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1
Apply the formula: $\int\cos\left(ax\right)dx$$=\frac{1}{a}\sin\left(ax\right)+C$, where $a=\pi $
$\left[\frac{1}{\pi }\sin\left(\pi x\right)\right]_{0}^{1}$
2
Evaluate the definite integral
$\frac{1}{\pi }\sin\left(\pi \cdot 1\right)- \left(\frac{1}{\pi }\right)\sin\left(\pi \cdot 0\right)$
Final answer to the problem
$\frac{1}{\pi }\sin\left(\pi \cdot 1\right)- \left(\frac{1}{\pi }\right)\sin\left(\pi \cdot 0\right)$
Exact Numeric Answer
$0$