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- Integrate by partial fractions
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The integral of a function times a constant ($64$) is equal to the constant times the integral of the function
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$64\int\sin\left(x^2\right)dx$
Learn how to solve problems step by step online. Solve the trigonometric integral int(64sin(x^2))dx. The integral of a function times a constant (64) is equal to the constant times the integral of the function. Rewrite the function \sin\left(x^2\right) as it's representation in Maclaurin series expansion. Simplify \left(x^2\right)^{\left(2n+1\right)} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals 2n+1. Solve the product 2\left(2n+1\right).