Final answer to the problem
$1$
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Step-by-step Solution
How should I solve this problem?
- Integrate using trigonometric identities
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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1
Simplifying
$\int_{0}^{\frac{\pi}{2}}\cos\left(x\right)dx$
2
Apply the integral of the cosine function: $\int\cos(x)dx=\sin(x)$
$\left[\sin\left(x\right)\right]_{0}^{\frac{\pi}{2}}$
3
Evaluate the definite integral
$\sin\left(\frac{\pi}{2}\right)-\sin\left(0\right)$
4
Simplify the expression inside the integral
$1$
Final answer to the problem
$1$