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- Integrate by partial fractions
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The integral of a function times a constant ($2$) is equal to the constant times the integral of the function
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$2\int\cos\left(x^2\right)dx$
Learn how to solve integration techniques problems step by step online. Solve the trigonometric integral int(2cos(x^2))dx. The integral of a function times a constant (2) is equal to the constant times the integral of the function. Rewrite the function \cos\left(x^2\right) as it's representation in Maclaurin series expansion. Simplify \left(x^2\right)^{2n} 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. We can rewrite the power series as the following.