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Popular >

integral of (x^3-pi)

Solution

\int (x^{3} - π) d x

Solution

\frac{x ^{4}}{4} - π x + C

Solution steps

\int x^{3} - π d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int x^{3} d x - \int π d x

\int x^{3} d x = \frac{x ^{4}}{4}

\int π d x = π x

= \frac{x ^{4}}{4} - π x

Add a constant to the solution

= \frac{x ^{4}}{4} - π x + C

Popular Examples

integral of 4/(x^9)

\int \frac{4}{x ^{9}} d x

integral of 0.6e^{-0.7x}

\int 0.6 e^{- 0.7 x} d x

integral of 3x^4(2x-5)

\int 3 x^{4} (2 x - 5) d x

integral of (x+9)/(x^2+5x)

\int \frac{x + 9}{x ^{2} + 5 x} d x

integral of (xe^x+5)/x

\int \frac{x e ^{x} + 5}{x} d x

Frequently Asked Questions (FAQ)

What is the integral of (x^3-pi) ?
The integral of (x^3-pi) is (x^4)/4-pix+C