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Popular >

integral of pi^2-x^2

Solution

\int π^{2} - x^{2} d x

Solution

π^{2} x - \frac{x ^{3}}{3} + C

Solution steps

\int π^{2} - x^{2} 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 π^{2} d x - \int x^{2} d x

\int π^{2} d x = π^{2} x

\int x^{2} d x = \frac{x ^{3}}{3}

= π^{2} x - \frac{x ^{3}}{3}

Add a constant to the solution

= π^{2} x - \frac{x ^{3}}{3} + C

Popular Examples

integral of 8/(1+8x)

\int \frac{8}{1 + 8 x} d x

derivative of (3x^2^{2x}*(x^2+2x)^2)

\frac{d}{d x} ((3 x^{2})^{2 x} \cdot (x^{2} + 2 x)^{2})

integral of (2x)/((x-1)(x-3))

\int \frac{2 x}{( x - 1 ) ( x - 3 )} d x

integral of tan^3(θ)sec^4(θ)

\int tan^{3} (θ) sec^{4} (θ) d θ

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

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

Frequently Asked Questions (FAQ)

What is the integral of pi^2-x^2 ?
The integral of pi^2-x^2 is pi^2x-(x^3)/3+C