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Expand the integral $\int\left(-\frac{1}{10}\cos\left(x\right)-\frac{1}{4}\tan\left(x\right)\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
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$\int-\frac{1}{10}\cos\left(x\right)dx+\int-\frac{1}{4}\tan\left(x\right)dx$
Learn how to solve problems step by step online. Solve the trigonometric integral int(-1/10cos(x)-1/4tan(x))dx. Expand the integral \int\left(-\frac{1}{10}\cos\left(x\right)-\frac{1}{4}\tan\left(x\right)\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int-\frac{1}{10}\cos\left(x\right)dx results in: -\frac{1}{10}\sin\left(x\right). The integral \int-\frac{1}{4}\tan\left(x\right)dx results in: \frac{1}{4}\ln\left(\cos\left(x\right)\right). Gather the results of all integrals.