Indefinite Integrals Calculator

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Integration is a technique in Calculus and is a very commonly used method in Mathematics for advanced calculations. Indefinite integrals are the integrals where the limits of integration for the variable in the function are not given. Indefinite integral calculator is an easy online tool which can give the indefinite integral of any given function.

Example 1: Calculate the indefinite integral of the function, f(x) = 2x.

The integral notation for the given function: ∫(2x)dx

The given integral is an indefinite integral because; the limits of integration for ‘x’ are not mentioned.

According to the Power rule of Integration: ∫xn dx= x(n+1)/ (n+1) + c where ‘c’ is a constant!

Applying the above formula for the function we get:  ∫(2x)dx = 2 * (x1+1)/ (1 + 1) + c.

This implies:∫(2x)dx = 2x2/2 + c==>∫(2x)dx = x2 + c.

 Example 2: Calculate the indefinite integral of the function, f(x) = -9x3.

The integral notation for the given function: ∫ (-9x3)dx

The given integral is an indefinite integral because; the limits of integration for ‘x’ are not mentioned.

According to the Power rule of Integration:  ∫xn dx= x(n+1)/ (n+1) + c where ‘c’ is a constant!

Applying the above formula for the function we get: ∫(-9x3)dx = -9 * (x3+1)/ (3 + 1) + c.

This implies:∫(-9x3)dx = -9 * x4/4 + c ==>(-9x3)dx = -9x4/4 + c.
 

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