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Popular >

integral of 7^xx

Solution

\int 7^{x} x d x

Solution

\frac{7 ^{x} x}{ln ( 7 )} - \frac{7 ^{x}}{ln ^{2} ( 7 )} + C

Solution steps

\int 7^{x} x d x

Apply Integration By Parts

: \frac{7 ^{x} x}{ln ( 7 )} - \int \frac{7 ^{x}}{ln ( 7 )} d x

= \frac{7 ^{x} x}{ln ( 7 )} - \int \frac{7 ^{x}}{ln ( 7 )} d x

\int \frac{7 ^{x}}{ln ( 7 )} d x = \frac{7 ^{x}}{ln ^{2} ( 7 )}

= \frac{7 ^{x} x}{ln ( 7 )} - \frac{7 ^{x}}{ln ^{2} ( 7 )}

Add a constant to the solution

= \frac{7 ^{x} x}{ln ( 7 )} - \frac{7 ^{x}}{ln ^{2} ( 7 )} + C

Popular Examples

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

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

integral of (2x)/(x-5)

\int \frac{2 x}{x - 5} d x

integral of (x^2+4x)^5(x+2)

\int (x^{2} + 4 x)^{5} (x + 2) d x

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

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

integral of (x^2)/(sqrt(x^2+19))

\int \frac{x ^{2}}{x ^{2} + 19} d x

Frequently Asked Questions (FAQ)

What is the integral of 7^xx ?
The integral of 7^xx is (7^xx)/(ln(7))-(7^x)/(ln^2(7))+C