We can solve the integral $\int\frac{1}{1+\cos\left(x\right)^2}dx$ by applying the method Weierstrass substitution (also known as tangent half-angle substitution) which converts an integral of trigonometric functions into a rational function of $t$ by setting the substitution
$t=\tan\left(\frac{x}{2}\right)$
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$t=\tan\left(\frac{x}{2}\right)$
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Learn how to solve differential calculus problems step by step online. Solve the trigonometric integral int(1/(1+cos(x)^2))dx. We can solve the integral \int\frac{1}{1+\cos\left(x\right)^2}dx by applying the method Weierstrass substitution (also known as tangent half-angle substitution) which converts an integral of trigonometric functions into a rational function of t by setting the substitution. Hence. Substituting in the original integral we get. Simplifying.
Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more
The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.