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10 questions from this quiz
Product of unrelated functions
∫udvdxdx=uv−∫vdudxdx\int u \frac{dv}{dx} dx = uv - \int v \frac{du}{dx} dx∫udxdvdx=uv−∫vdxdudx
Product rule
−xcosx+sinx+c-x \cos x + \sin x + c−xcosx+sinx+c
xex−ex+Cxe^x - e^x + Cxex−ex+C
ln(x)\ln(x)ln(x) can't be directly integrated
xlnx−x+cx \ln x - x + cxlnx−x+c
As ∫1×lnxdx\int 1 \times \ln x dx∫1×lnxdx
e2e^2e2
Substitution t=x+1t = \sqrt{x+1}t=x+1
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