Impara online a risolvere i problemi di integrali trigonometrici passo dopo passo. int(5sec(x)^4)dx. Applicare la formula: \int cxdx=c\int xdx, dove c=5 e x=\sec\left(x\right)^4. Applicare la 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, dove n=4. Applicare la formula: x\left(a+b\right)=xa+xb, dove a=\frac{\sin\left(x\right)\sec\left(x\right)^{3}}{3}, b=\frac{2}{3}\int\sec\left(x\right)^{2}dx, x=5 e a+b=\frac{\sin\left(x\right)\sec\left(x\right)^{3}}{3}+\frac{2}{3}\int\sec\left(x\right)^{2}dx. Applicare la formula: a\frac{x}{b}=\frac{a}{b}x, dove a=5, b=3, ax/b=5\left(\frac{\sin\left(x\right)\sec\left(x\right)^{3}}{3}\right), x=\sin\left(x\right)\sec\left(x\right)^{3} e x/b=\frac{\sin\left(x\right)\sec\left(x\right)^{3}}{3}.

int(5sec(x)^4)dx