Exercise
$\frac{1}{\left(1-sin^2x\right)^{\frac{3}{2}}}$
Step-by-step Solution
Learn how to solve integrals with radicals problems step by step online. Simplify the trigonometric expression 1/((1-sin(x)^2)^(3/2)). Applying the trigonometric identity: 1-\sin\left(\theta \right)^2 = \cos\left(\theta \right)^2. Simplify \sqrt{\left(\cos\left(x\right)^2\right)^{3}} 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 \frac{3}{2}. Multiply the fraction and term in 2\cdot \left(\frac{3}{2}\right). Multiply 2 times 3.
Simplify the trigonometric expression 1/((1-sin(x)^2)^(3/2))
Final answer to the exercise
$\sec\left(x\right)^{3}$