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Multiply and divide by the conjugate of $\sin\left(u\right)+1$
Learn how to solve trigonometric integrals problems step by step online.
$\int\frac{1}{\sin\left(u\right)+1}\frac{\sin\left(u\right)-1}{\sin\left(u\right)-1}du$
Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(1/(sin(u)+1))du. Multiply and divide by the conjugate of \sin\left(u\right)+1. Multiplying fractions \frac{1}{\sin\left(u\right)+1} \times \frac{\sin\left(u\right)-1}{\sin\left(u\right)-1}. Solve the product of difference of squares \left(\sin\left(u\right)+1\right)\left(\sin\left(u\right)-1\right). Apply the trigonometric identity: -1+\sin\left(\theta \right)^2=-\cos\left(\theta \right)^2, where x=u.