Basic indefinite integral formulas

# ∫k dx

# kx +c

# ∫xⁿ dx

# (1/n+1) (xⁿ⁺¹) + C, (n not equal to -1)

# ∫eˣ dx

# eˣ + C

# ∫aˣ dx

# (1 / ln a) aˣ + C

# ∫(1 / **√(1 - x**²)) dx

# sin⁻¹ x + C

# ∫(1 / (1 + x²)) dx

# tan⁻¹ x + C

# ∫cos x dx

# sin x + C

# ∫sec² x dx

# tan x + C

# ∫sec x tan x dx

# sec x + C

# ∫tan x dx

# ln |sec x| + C

# ∫sec x dx

# ln |sec x + tan x| + C

# ∫sin x dx

# - cos x + C

# ∫csc² x dx

# - cot x + C

# ∫csc x cot x dx

# - csc x + C

# ∫cot x dx

# ln |sin x| + C

# ∫csc x dx

# ln |csc x - cot x| + C