Integrand size = 10, antiderivative size = 10 \[ \int \frac {\operatorname {FresnelC}(a+b x)}{x} \, dx=\text {Int}\left (\frac {\operatorname {FresnelC}(a+b x)}{x},x\right ) \]
[Out]
Not integrable
Time = 0.01 (sec) , antiderivative size = 10, normalized size of antiderivative = 1.00, number of steps used = 0, number of rules used = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \[ \int \frac {\operatorname {FresnelC}(a+b x)}{x} \, dx=\int \frac {\operatorname {FresnelC}(a+b x)}{x} \, dx \]
[In]
[Out]
Rubi steps \begin{align*} \text {integral}& = \int \frac {\operatorname {FresnelC}(a+b x)}{x} \, dx \\ \end{align*}
Not integrable
Time = 0.02 (sec) , antiderivative size = 12, normalized size of antiderivative = 1.20 \[ \int \frac {\operatorname {FresnelC}(a+b x)}{x} \, dx=\int \frac {\operatorname {FresnelC}(a+b x)}{x} \, dx \]
[In]
[Out]
Not integrable
Time = 0.18 (sec) , antiderivative size = 10, normalized size of antiderivative = 1.00
\[\int \frac {\operatorname {FresnelC}\left (b x +a \right )}{x}d x\]
[In]
[Out]
Not integrable
Time = 0.26 (sec) , antiderivative size = 12, normalized size of antiderivative = 1.20 \[ \int \frac {\operatorname {FresnelC}(a+b x)}{x} \, dx=\int { \frac {\operatorname {C}\left (b x + a\right )}{x} \,d x } \]
[In]
[Out]
Not integrable
Time = 0.31 (sec) , antiderivative size = 8, normalized size of antiderivative = 0.80 \[ \int \frac {\operatorname {FresnelC}(a+b x)}{x} \, dx=\int \frac {C\left (a + b x\right )}{x}\, dx \]
[In]
[Out]
Not integrable
Time = 0.77 (sec) , antiderivative size = 12, normalized size of antiderivative = 1.20 \[ \int \frac {\operatorname {FresnelC}(a+b x)}{x} \, dx=\int { \frac {\operatorname {C}\left (b x + a\right )}{x} \,d x } \]
[In]
[Out]
Not integrable
Time = 0.26 (sec) , antiderivative size = 12, normalized size of antiderivative = 1.20 \[ \int \frac {\operatorname {FresnelC}(a+b x)}{x} \, dx=\int { \frac {\operatorname {C}\left (b x + a\right )}{x} \,d x } \]
[In]
[Out]
Not integrable
Time = 4.59 (sec) , antiderivative size = 12, normalized size of antiderivative = 1.20 \[ \int \frac {\operatorname {FresnelC}(a+b x)}{x} \, dx=\int \frac {\mathrm {FresnelC}\left (a+b\,x\right )}{x} \,d x \]
[In]
[Out]