W02 Stepwise

Due date: Thursday 1/22, 11:59pm

Trig power products

01

01

Somewhat odd power product

Compute the integral:

$$\int {\sin }^{2}x\cdot {\cos }^{3}xdx$$

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Solution

Solutions---0040-01

02

02

Tangent and secant both even

Compute the integral:

$$\int {\tan }^{2}x\cdot {\sec }^{2}xdx$$

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Solution

Solutions---0040-02

03

03

All even power product

Compute the integral:

$$\int {\sin }^{4}x\cdot {\cos }^{2}xdx$$

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Solution

Solutions---0040-03

Trig substitution

04

01

Trig sub

Compute the definite integral:

$${\int }_0^{1/2}\frac{x^2}{\sqrt{1-x^2}}dx$$

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Solution

Solutions---0050-01

05

02

Trig sub

Compute the integral:

$$\int \frac{dx}{\sqrt{x^2+4}}$$

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Solution

Solutions---0050-02