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Popular >

integral from 0 to 1 of a+bx^2

Solution

\int_{0}^{1} a + b x^{2} d x

Solution

a + \frac{b}{3}

Solution steps

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

\int_{0}^{1} a d x = a

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

= a + \frac{b}{3}

Popular Examples

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

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

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

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

integral from 0 to 4 of (x^2-x+1)e^{2x}

\int_{0}^{4} (x^{2} - x + 1) e^{2 x} d x

integral from 0 to 2 of xln(x+1)

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

integral from-infinity to 0 of x5^{-x}

\int_{- \infty}^{0} x 5^{- x} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of a+bx^2 ?
The integral from 0 to 1 of a+bx^2 is a+b/3