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Level 578

Indefinite Integrals & Fundamental Identities


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∫ cƒ(x) dx
c ∫ ƒ(x) dx
∫ k dx
kx + C
∫ [ƒ(x) + g(x)] dx
∫ ƒ(x) dx + ∫ g(x) dx
∫ xⁿ dx
(xⁿ+¹ / n + 1) + C (n ≠ -1)
∫ 1/x dx
ln lxl + c
∫ e^x dx
e^x + C
∫ a^x dx
(a^x/ lna) + c
∫ sin x dx
- cos x + C
∫ cos x dx
sin x + C
∫ sec²x dx
tan x + C
∫ csc²x dx
-cotx + C
sec x + c
∫ sec x tan x dx
-csc x + c
∫ csc x cot x dx
tan⁻¹x + C
∫ 1 / x² + 1 dx
cot⁻¹x + C
∫ -1 / 1 + x² dx
sin⁻¹x + C
∫ 1/√1 − x²) dx
csc⁻¹x + C
∫-1 / x√x² − 1) dx
cos⁻¹x + C
∫ -1 / √1 − x²) dx
sec⁻¹x + C
∫ 1 / x√x² − 1) dx
∫ 1/x² dx
-1/x + C
csc x
1 / sin x
sec x
1 / cos x
tan x
sin x / cos x
cot x
cos x / sin x
cot x
1 / tan x
1
sin²x + cos²x
sec²x
1 + tan²x
csc²x
1 + cot²x
sin 2x
2 sin x cos x