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Apply the formula: $\int\sec\left(\theta \right)^ndx$$=\frac{\sin\left(\theta \right)\sec\left(\theta \right)^{\left(n-1\right)}}{n-1}+\frac{n-2}{n-1}\int\sec\left(\theta \right)^{\left(n-2\right)}dx$, where $n=4$
Learn how to solve intégrales trigonométriques problems step by step online.
$\frac{\sin\left(x\right)\sec\left(x\right)^{3}}{3}+\frac{2}{3}\int\sec\left(x\right)^{2}dx$
Learn how to solve intégrales trigonométriques problems step by step online. int(sec(x)^4)dx. Apply the formula: \int\sec\left(\theta \right)^ndx=\frac{\sin\left(\theta \right)\sec\left(\theta \right)^{\left(n-1\right)}}{n-1}+\frac{n-2}{n-1}\int\sec\left(\theta \right)^{\left(n-2\right)}dx, where n=4. The integral \frac{2}{3}\int\sec\left(x\right)^{2}dx results in: \frac{2}{3}\tan\left(x\right). Gather the results of all integrals. Apply the trigonometric identity: \sin\left(\theta \right)\sec\left(\theta \right)^n=\tan\left(\theta \right)\sec\left(\theta \right)^{\left(n-1\right)}, where n=3.
