Final Answer
$-\frac{10}{353}_3.141592653589793^{\pi }\cos\left(4x\right)+C_0$
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Step-by-step Solution
Problem to solve:
$\int_{\frac{\pi }{2}}^{\pi }\sin\left(4x\right)dx$
Specify the solving method
1
Simplifying
$\int\frac{40}{353}_3.141592653589793^{\pi }\sin\left(4x\right)dx$
Learn how to solve trigonometric integrals problems step by step online.
$\int\frac{40}{353}_3.141592653589793^{\pi }\sin\left(4x\right)dx$
Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int((_3.141592653589793/2)^pisin(4x))dx. Simplifying. The integral of a function times a constant (\frac{40}{353}) is equal to the constant times the integral of the function. The integral of a function times a constant (_3.141592653589793^{\pi }) is equal to the constant times the integral of the function. Apply the formula: \int\sin\left(ax\right)dx=-\left(\frac{1}{a}\right)\cos\left(ax\right)+C, where a=4.
Final Answer
$-\frac{10}{353}_3.141592653589793^{\pi }\cos\left(4x\right)+C_0$