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Applying the trigonometric identity: $1-\sin\left(\theta \right)^2 = \cos\left(\theta \right)^2$
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$\int\frac{\sin\left(4t-1\right)}{\cos\left(4t-1\right)^2}dx$
Learn how to solve equations problems step by step online. Solve the trigonometric integral int(sin(4t-1)/(1-sin(4t-1)^2))dx. Applying the trigonometric identity: 1-\sin\left(\theta \right)^2 = \cos\left(\theta \right)^2. The integral of a constant is equal to the constant times the integral's variable. Multiplying the fraction by x. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.