Final answer to the problem
Step-by-step Solution
Specify the solving method
Simplify $\frac{1}{1+\sin\left(t\right)+\cos\left(t\right)}$ into $\frac{1}{1+\sqrt{2}\sin\left(t+45\right)}$ by applying trigonometric identities
Learn how to solve trigonometric integrals problems step by step online.
$\int\frac{1}{1+\sqrt{2}\sin\left(t+45\right)}dx$
Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(1/(1+sin(t)cos(t)))dx. Simplify \frac{1}{1+\sin\left(t\right)+\cos\left(t\right)} into \frac{1}{1+\sqrt{2}\sin\left(t+45\right)} by applying trigonometric identities. The integral of a constant is equal to the constant times the integral's variable. Multiply the fraction and term. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.