What is the integral of x^2-cos(x) ?

The integral of x^2-cos(x) is (x^3)/3-sin(x)+C

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integral of x^2-cos(x)

\int x^{2} - cos (x) d x

\frac{x ^{3}}{3} - sin (x) + C

Solution steps

\int x^{2} - cos (x) 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^{2} d x - \int cos (x) d x

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

\int cos (x) d x = sin (x)

= \frac{x ^{3}}{3} - sin (x)

Add a constant to the solution

= \frac{x ^{3}}{3} - sin (x) + C

d x + e^{5 x} d y = 0

s^{2} + 2 s + 1

y = x^{2} e^{x} - 2 x e^{x} + 4 e^{x}

\int (x - π) sin (x) d x

\int_{0}^{5} 1 d x

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