∫π$$/43$$π$$/4$$ $$dx1+$$$$cos$$⁡ x is equal to

Question

∫π$$/43$$π$$/4$$ $$dx1+$$$$cos$$⁡ x  is equal to

Infinity Learn · Accepted Answer

$$I=$$∫π$$/43$$π$$/4$$ $$dx1+$$$$cos$$⁡ $$x=$$∫π$$/43$$π$$/4$$ $$dx1+$$$$cos$$⁡ $$($$π−$$x)$$                               $$=$$∫π$$/43$$π$$/4$$ $$dx1$$−$$cos$$⁡ x∴                      $$2I=$$∫π$$/43$$π$$/4$$ $$11+$$$$cos$$⁡ $$x+11$$−$$cos$$⁡ xdx                                $$=$$∫π$$/43$$π$$/4$$ $$21$$−$$cos2$$⁡ xdx                                 $$=$$−$$2cot$$⁡ xπ$$/43$$π$$/4=4$$. Hence $$I=2$$

$\int_{π / 4}^{3 π / 4} \frac{d x}{1 + \cos x}$ is equal to

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

∫π/43π/4 dx1+cos⁡ x is equal to

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

$\int_{π / 4}^{3 π / 4} \frac{d x}{1 + \cos x}$ is equal to