Integration formulas

 INTEGRATION FORMULAS 

BASIC INTEGRATION FORMULAS

• ∫ xⁿ dx = x^{(n + 1)}/(n + 1)+ C
• ∫ 1 dx = x + C
• ∫ e^x dx = e^x + C
• ∫ 1/x dx = log |x| + C
• ∫ a^x dx = a^x /log a+ C
• ∫ e^x [f(x) + f'(x)] dx = e^x f(x) + C

INTEGRATION FORMULAS FOR TRIGONOMETRIC FUNCTIONS

• ∫ sin x dx = -cos x + C
• ∫ cos x dx = sin x + C
• ∫ sec²x dx = tan x + C
• ∫ cosec²x dx = -cot x + C
• ∫ sec x tan x dx = sec x + C
• ∫ cosec x cot x dx = -cosec x + C
• ∫ tan x dx = log |sec x| + C
• ∫ cot x dx = log |sin x| + C
• ∫ sec x dx = log |sec x + tan x| + C
• ∫ cosec x dx = log |cosec x - cot x| + C [ here " C" is constant]