What is the integral from 1 to sqrt(3 of)x3^{x^2} ?

The integral from 1 to sqrt(3 of)x3^{x^2} is (12)/(ln(3))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 1 to sqrt(3 of)x3^{x^2}

\int_{1}^{3} x 3^{x^{2}} d x

\frac{12}{ln ( 3 )}

Decimal Notation

10.92287 \dots

Solution steps

\int_{1}^{3} x \cdot 3^{x^{2}} d x

Apply u-substitution

: \int_{3}^{27} \frac{1}{2 ln ( 3 )} d u

= \int_{3}^{27} \frac{1}{2 ln ( 3 )} d u

Integral of a constant:

\int a d x = a x

= [\frac{1}{2 ln ( 3 )} u]_{3}^{27}

Compute the boundaries:

\frac{12}{ln ( 3 )}

= \frac{12}{ln ( 3 )}

g (x) = 27 x^{2} - x^{3}

y = 4 - 9 x^{2}, (- 3, - 77)

\int \frac{3 x}{x ^{4} + 1} d x

\frac{1}{3 + 2 x}

\frac{s}{( s + 2 ) ( s ^{2} + 4 )}

What is the integral from 1 to sqrt(3 of)x3^{x^2} ?
The integral from 1 to sqrt(3 of)x3^{x^2} is (12)/(ln(3))