Final answer to the problem
The integral diverges.
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(\theta \right)^2dx$$=\frac{1}{2}\theta +\frac{1}{4}\sin\left(2\theta \right)+C$
$\frac{1}{2}x+\frac{1}{4}\sin\left(2x\right)$
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$\frac{1}{2}x+\frac{1}{4}\sin\left(2x\right)$
Learn how to solve problems step by step online. Integrate the function cos(x)^2 from -infinity to 0. Apply the formula: \int\cos\left(\theta \right)^2dx=\frac{1}{2}\theta +\frac{1}{4}\sin\left(2\theta \right)+C. Add the initial limits of integration. Replace the integral's limit by a finite value. Evaluate the definite integral.
Final answer to the problem
The integral diverges.
