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The integral of a function times a constant ($4$) is equal to the constant times the integral of the function
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$4\int x\sec\left(x\right)dx$
Learn how to solve problems step by step online. Find the integral int(4xsec(x))dx. The integral of a function times a constant (4) is equal to the constant times the integral of the function. The integral \int x\sec\left(x\right)dx is non-elementary (it's result can't be expressed in terms of elementary functions). It results in. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C. Expand and simplify.