i need help with these problems please?:
(bSa is the intergration symbol with the a and b values)
1S0 36dx/(2x+1)^3
(pi)/2S0 5sin^(3/2)xcosxdx
(pi)/4S0 e^(tanx)sec^2xdx
i need help with these problems please?:
(bSa is the intergration symbol with the a and b values)
1S0 36dx/(2x+1)^3
(pi)/2S0 5sin^(3/2)xcosxdx
(pi)/4S0 e^(tanx)sec^2xdx
Well as I pointed out $\displaystyle \displaystyle\int_0^1 \frac{36}{(2x+1)^3}~dx$
Make $\displaystyle \displaystyle u= 2x+1\implies \frac{du}{dx} = 2$
Giving $\displaystyle \displaystyle\int_0^1 \frac{2\times 18}{(2x+1)^3}~dx = \int_1^3 \frac{ 18}{(u)^3}~du= 18\int_1^3 \frac{ du}{(u)^3}$