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Integral Calculator: Solve Definite and Indefinite Integrals (Antiderivatives)

Online integral calculator with step-by-step solutions, interactive graphs, and image scanning. Choose solution steps manually. Methods include u-substitution, integration by parts, partial fractions, trigonometric/hyperbolic/logarithmic formulas, polynomial long division, Euler substitution, binomial differentials, Weierstrass substitution, and Ostrogradsky's method. Solve definite and improper integrals using the Fundamental Theorem of Calculus.
Integration variable
Upper limit Integral sign
+∞
Lower limit
-∞
Transformations
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The input recognizes synonyms for functions, such asasin, arsin, arcsin, sin^-1

Multiplication signs and parentheses are automatically added, for example2sinxbecomes2*sin(x)

Supported functions and constants:

•ln(x) — natural logarithm

•sin(x) — sine

•cos(x) — cosine

•tan(x) — tangent

•cot(x) — cotangent

•arcsin(x) — arcsine

•arccos(x) — arccosine

•arctan(x) — arctangent

•arccot(x) — arccotangent

•sinh(x) — hyperbolic sine

•cosh(x) — hyperbolic cosine

•tanh(x) — hyperbolic tangent

•coth(x) — hyperbolic cotangent

•sech(x) — hyperbolic secant

•csch(x) — hyperbolic cosecant

•arsinh(x) — inverse hyperbolic sine

•arcosh(x) — inverse hyperbolic cosine

•artanh(x) — inverse hyperbolic tangent

•arcoth(x) — inverse hyperbolic cotangent

•sec(x) — secant

•csc(x) — cosecant

•arcsec(x) — arcsecant

•arccsc(x) — arccosecant

•arsech(x) — inverse hyperbolic secant

•arcsch(x) — inverse hyperbolic cosecant

•|x|, abs(x) — absolute value

•sqrt(x), root(x) — square root

•exp(x) — exp(x)

•a+b — a + b

•a-b — a - b

•a*b — a * b

•a/b — a / b

•a^b, a**b — a ^ b

•sqrt7(x) — sqrt[7](x)

•sqrt(n,x) — sqrt[n](x)

•lg(x) — log_10(x)

•log3(x) — log_3(x)

•log(a,x) — log_a(x)

•ln^2(x), ln(x)^2 — ln^2 x

•pi — pi
alpha — alpha
beta — beta
•sigma — sigma
gamma — gamma
nu — nu
•mu — mu
phi — phi
psi — psi
•tau — tau
eta — eta
rho — rho
•a123 — a_123
x_n — x_n
mu11 — mu_11
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x=0, y=0
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int f(x)dx = F(x)
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