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Popular >

integral from 0 to 1 of (1+x)

Solution

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

Solution

\frac{3}{2}

+1

Decimal Notation

1.5

Solution steps

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

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

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

= 1 + \frac{1}{2}

Simplify

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

= \frac{3}{2}

Popular Examples

integral from 0 to pi of tsin(3t)

\int_{0}^{π} t sin (3 t) d t

integral from-infinity to infinity of 1/(x^2+6x+109)

\int_{- \infty}^{\infty} \frac{1}{x ^{2} + 6 x + 109} d x

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

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

integral from-1 to 1 of sqrt(x^2)

\int_{- 1}^{1} x^{2} d x

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

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of (1+x) ?
The integral from 0 to 1 of (1+x) is 3/2