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\frac{\int3\sin\left(x\right)\cdot xdx}{\cos\left(x\right)^4}

Integrate sin(x)x*3

Answer

$\frac{-x\cos\left(x\right)-\int-\cos\left(x\right)dx}{\cos\left(x\right)^4}$

Step-by-step explanation

Problem

$\frac{\int3\sin\left(x\right)\cdot xdx}{\cos\left(x\right)^4}$
1

Use the integration by parts theorem to calculate the integral $\int3x\sin\left(x\right)dx$, using the following formula

$\displaystyle\int u\cdot dv=u\cdot v-\int v \cdot du$

Unlock this step-by-step solution!

Answer

$\frac{-x\cos\left(x\right)-\int-\cos\left(x\right)dx}{\cos\left(x\right)^4}$
$\frac{\int3\sin\left(x\right)\cdot xdx}{\cos\left(x\right)^4}$

Main topic:

Integration by parts

Used formulas:

2. See formulas

Time to solve it:

~ 0.76 seconds