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- Integrate by partial fractions
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- Integrate using tabular integration
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- Weierstrass Substitution
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- Integrate using basic integrals
- Product of Binomials with Common Term
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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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$4\int\sec\left(x\right)^4dx$
Learn how to solve problems step by step online. Solve the trigonometric integral int(4sec(x)^4)dx. The integral of a function times a constant (4) is equal to the constant times the integral of the function. Simplify the integral \int\sec\left(x\right)^4dx applying the reduction formula, \displaystyle\int\sec(x)^{n}dx=\frac{\sin(x)\sec(x)^{n-1}}{n-1}+\frac{n-2}{n-1}\int\sec(x)^{n-2}dx. Solve the product 4\left(\frac{\sin\left(x\right)\sec\left(x\right)^{3}}{3}+\frac{2}{3}\int\sec\left(x\right)^{2}dx\right). Simplify the fraction 4\left(\frac{\sin\left(x\right)\sec\left(x\right)^{3}}{3}\right).
