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Popular >

integral from 0 to 1 of kx^2+x

Solution

\int_{0}^{1} k x^{2} + x d x

Solution

\frac{k}{3} + \frac{1}{2}

Solution steps

\int_{0}^{1} k x^{2} + 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_{0}^{1} k x^{2} d x + \int_{0}^{1} x d x

\int_{0}^{1} k x^{2} d x = \frac{k}{3}

\int_{0}^{1} x d x = \frac{1}{2}

= \frac{k}{3} + \frac{1}{2}

Popular Examples

integral from-1/2 to 1/2 of 2/(1+4x^2)

\int_{- \frac{1}{2}}^{\frac{1}{2}} \frac{2}{1 + 4 x ^{2}} d x

integral from 0 to 1/15 of xln(15x)

\int_{0}^{\frac{1}{15}} x ln (15 x) d x

integral from 0 to 1 of 1/((x-2)(x+1))

\int_{0}^{1} \frac{1}{( x - 2 ) ( x + 1 )} d x

integral from x^2 to 2x of x^2+y^2

\int_{x^{2}}^{2 x} x^{2} + y^{2} d y

integral from-1 to 0 of x/(sqrt(x+1))

\int_{- 1}^{0} \frac{x}{x + 1} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of kx^2+x ?
The integral from 0 to 1 of kx^2+x is k/3+1/2