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Popular >

integral of x^2(x^3)

Solution

\int x^{2} (x^{3}) d x

Solution

\frac{x ^{6}}{6} + C

Solution steps

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

Simplify

x^{2} x^{3} : x^{5}

= \int x^{5} d x

Apply the Power Rule

: \frac{x ^{6}}{6}

= \frac{x ^{6}}{6}

Add a constant to the solution

= \frac{x ^{6}}{6} + C

Popular Examples

integral of (2(csc(t))^2)/(cot(t))

\int \frac{2 ( csc ( t ) ) ^{2}}{cot ( t )} d t

integral of (x^3+1)^{-1}

\int (x^{3} + 1)^{- 1} d x

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

\int \frac{x ( 1 - x ^{2} )}{1 + x ^{4}} d x

integral of (9+tan^2(x))

\int (9 + tan^{2} (x)) d x

integral of x/((x^3+1))

\int \frac{x}{( x ^{3} + 1 )} d x

Frequently Asked Questions (FAQ)

What is the integral of x^2(x^3) ?
The integral of x^2(x^3) is (x^6)/6+C