Final Answer
$\frac{\sqrt{3}}{2}$
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Step-by-step Solution
Problem to solve:
$\int_{\frac{\pi}{6}}^{\frac{\pi }{2}}\sin\left(x\right)dx$
Specify the solving method
1
Simplifying
$\int_{\frac{\pi}{6}}^{\frac{\pi}{2}}\sin\left(x\right)dx$
Learn how to solve definite integrals problems step by step online.
$\int_{\frac{\pi}{6}}^{\frac{\pi}{2}}\sin\left(x\right)dx$
Learn how to solve definite integrals problems step by step online. Integrate the function sin(x) from pi/6 to pi/2. Simplifying. Apply the integral of the sine function: \int\sin(x)dx=-\cos(x). Evaluate the definite integral. Simplify the expression inside the integral.
Final Answer
$\frac{\sqrt{3}}{2}$
Exact Numeric Answer
$0.866025$