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Popular >

integral of t^{1/4}

Solution

\int t^{\frac{1}{4}} d t

Solution

\frac{4}{5} t^{\frac{5}{4}} + C

Solution steps

\int t^{\frac{1}{4}} d t

Apply the Power Rule

: \frac{4}{5} t^{\frac{5}{4}}

= \frac{4}{5} t^{\frac{5}{4}}

Add a constant to the solution

= \frac{4}{5} t^{\frac{5}{4}} + C

Popular Examples

integral of 4/(1-16x^2)

\int \frac{4}{1 - 16 x ^{2}} d x

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

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

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

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

integral of (((2x^3+8x))/(sqrt(x^2+4)))

\int (\frac{( 2 x ^{3} + 8 x )}{x ^{2} + 4}) d x

integral of (x^3)/((16-x^4)^2)

\int \frac{x ^{3}}{( 16 - x ^{4} ) ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of t^{1/4} ?
The integral of t^{1/4} is 4/5 t^{5/4}+C