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