Summary of Integration Strategies
Read this topicExplanations 3
- Integration can sound like a scary concept at first so I like to think of it just as the process of taking an antiderivative (indefinite integral). As we have already learned, f…
By Kyle Zigner
- The next step to integration is finding definite integrals. Initially, this is the same process as finding an indefinite integral. First we add 1 to the exponent of the variable…
By Kyle Zigner, Alex Federspiel
- A good strategy for integrating besides just using the anti-derivative method is to use Riemann Sums. Riemann Sums divide each piece of an integral into a cross-section (a "slic…
By Maya Schwartz, Nicholas Degani
Problems 2
- Using the quotient rule in reverse, find the value of ∫1eln(x)(1+ln(x))2 dx.\int_{1}^{e} \frac{\ln(x)}{(1+\ln(x))^2} \, dx.∫1e(1+ln(x))2ln(x)dx. Please answer in the form of…
- Evaluate: ∫0πxsinx1+cos2x dx\int_{0}^{\pi}\frac{x\sin x}{1+\cos^{2}x~}dx∫0π1+cos2x xsinxdx (Hint: try to prove ∫0πxf(sinx) dx=π∫0π2f(sinx) dx\int_{0}^{\pi}xf(\sin x)~dx=\p…