compute-sec5-x-dx-using-the-reduction-formula-or-integration-by-parts-to-reduce-

Question

Compute ∫ $$sec^5 x dx $$using the reduction formula or integration by parts to reduce the power to known integrals.

Accepted Answer

(1/4) $$sec^3 x tan x + (3/8) sec x tan x + (3/8) ln$$|sec x + tan x| + C

Answer

(1/4) $$sec^3 x tan x + (1/2) sec x tan x + (1/2) ln$$|sec x + tan x| + C

Answer

(1/5) $$sec^4 x + C $$

Answer

(1/4) $$sec^3 x tan x + (3/8) sec x tan x$$ − (3/8) ln|sec x + tan x| + C

Compute ∫ sec^5 x dx using the reduction formula or integration by parts to reduce the power to known integrals.