Final answer to the problem
$\sin\left(\frac{\pi ^5}{32}\right)$
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Step-by-step Solution
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- Integrate by partial fractions
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- Weierstrass Substitution
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- Product of Binomials with Common Term
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1
The power of a quotient is equal to the quotient of the power of the numerator and denominator: $\displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$
Learn how to solve definite integrals problems step by step online.
$\int_{0}^{\frac{\pi ^5}{32}}\cos\left(x\right)dx$
Learn how to solve definite integrals problems step by step online. Integrate the function cos(x) from 0 to (pi/2)^5. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. Apply the integral of the cosine function: \int\cos(x)dx=\sin(x). Evaluate the definite integral. Simplify the expression.
Final answer to the problem
$\sin\left(\frac{\pi ^5}{32}\right)$
Exact Numeric Answer
$-0.137896$
