Mathematics, 23.07.2019 21:30 dezmondpowell
Find the general indefinite integral. (use c for the constant of integration.) (7θ − 6 csc(θ) cot(θ)) dθ
Answers: 1
![\displaystyle \int {\big[ 7\theta - 6csc(\theta)cot(\theta) \big]} \, d\theta = 6csc(\theta) + \frac{7x^2}{2} + C](/tpl/images/0124/8659/b78ab.png)
![\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx](/tpl/images/0124/8659/4bd0c.png)
![\displaystyle \int {\big[ 7\theta - 6csc(\theta)cot(\theta) \big]} \, d\theta](/tpl/images/0124/8659/b6dbc.png)
![\displaystyle \int {\big[ 7\theta - 6csc(\theta)cot(\theta) \big]} \, d\theta = \int {7\theta} \, d\theta - \int {6csc(\theta)cot(\theta)} \, d\theta](/tpl/images/0124/8659/a7ea4.png)
[Integrals] Rewrite [Integration Property - Multiplied Constant]: ![\displaystyle \int {\big[ 7\theta - 6csc(\theta)cot(\theta) \big]} \, d\theta = 7\int {\theta} \, d\theta - 6\int {csc(\theta)cot(\theta)} \, d\theta](/tpl/images/0124/8659/6ce50.png)
[1st Integral] Reverse Power Rule: ![\displaystyle \int {\big[ 7\theta - 6csc(\theta)cot(\theta) \big]} \, d\theta = 7 \Big( \frac{\theta^2}{2} \Big) - 6\int {csc(\theta)cot(\theta)} \, d\theta](/tpl/images/0124/8659/f3fef.png)
[Integral] Trigonometric Integration: ![\displaystyle \int {\big[ 7\theta - 6csc(\theta)cot(\theta) \big]} \, d\theta = 7 \Big( \frac{\theta^2}{2} \Big) - 6[-csc(\theta)] + C](/tpl/images/0124/8659/2aeaf.png)
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Find the general indefinite integral. (use c for the constant of integration.) (7θ − 6 csc(θ) cot(θ)...
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