5cos-2-x-4-dx-

Question Number 116237 by bobhans last updated on 02/Oct/20

$$\int\:\sqrt{\mathrm{5cos}\:^{\mathrm{2}} \mathrm{x}+\mathrm{4}}\:\mathrm{dx}\:? \\ $$

Answered by Lordose last updated on 02/Oct/20

∫(√(5(1−sin^2 x)+4)) dx ∫(√(9−5sin^2 x)) dx 3∫(√(1−(5/9)sin^2 x)) dx 3E(x∣(5/9)) ★LorD ∅sE

$$\int\sqrt{\mathrm{5}\left(\mathrm{1}−\mathrm{sin}^{\mathrm{2}} \mathrm{x}\right)+\mathrm{4}}\:\mathrm{dx} \\ $$$$\int\sqrt{\mathrm{9}−\mathrm{5sin}^{\mathrm{2}} \mathrm{x}}\:\mathrm{dx} \\ $$$$\mathrm{3}\int\sqrt{\mathrm{1}−\frac{\mathrm{5}}{\mathrm{9}}\mathrm{sin}^{\mathrm{2}} \mathrm{x}}\:\mathrm{dx} \\ $$$$\mathrm{3E}\left(\mathrm{x}\mid\frac{\mathrm{5}}{\mathrm{9}}\right) \\ $$$$\bigstar\boldsymbol{\mathrm{LorD}}\:\boldsymbol{\varnothing\mathrm{sE}} \\ $$

Commented by mohammad17 last updated on 02/Oct/20