evaluate-the-integralcos5x9sin25xdx-int-fraccos-5x9-sin2-5x-dx

Question

Evaluate the integral.∫cos⁡5x9+sin⁡25xdx \int \frac{\cos 5x}{9 + \$$sin^2 5x$$} dx

Accepted Answer

115tan⁡−1(sin⁡5x3)+C\frac{1}{15}\$$tan^{-1}$$\left(\frac{\sin5x}{3}\right)+C

Answer

15tan⁡−1(sin⁡5x3)+C\frac15\$$tan^{-1}$$\left(\frac{\sin5x}{3}\right)+C

Answer

115cos⁡−1(tan⁡5x3)+C\frac{1}{15}\$$cos^{-1}$$\left(\frac{	an5x}{3}ight)+C

Answer

15cos⁡−1(tan⁡5x3)+C\frac15\$$cos^{-1}$$\left(\frac{	an5x}{3}ight)+C

Evaluate the integral.∫cos5x9+sin25xdx \(\int\) \(\frac{\cos 5x}{9 + \sin^2 5x}\) dx