Practice problem
Find the derivative of the function given that g(t)=∫x2sinxlnt dtg(t)=\int_{x^2}^{\sin x}\ln t \text{ }dtg(t)=∫x2sinxlnt dt
cosxlnsinx−2xlnx2\cos x\ln\sin x-2x\ln x^2cosxlnsinx−2xlnx2
lnsinx2x\ln\frac{\sin x}{2x}ln2xsinx
x(lnx−1)x\left(\ln x-1\right)x(lnx−1)
2xcosxlnsinx2x2x\cos x\ln\frac{\sin x}{2x}2xcosxln2xsinx
Type a concept, like “slope” or “photosynthesis”.
