Free Printable Techniques of Integration BC

1.

For u-substitution what should be "du" in this integral?

a)

tanxsecx dx

b)

secx dx

c)

sec²x dx

d)

tanx dx

2.

What method would you use here?

a)

inverse trig

b)

u-substitution

c)

integration by parts

d)

partial fractions

3.

What method would you use here?

a)

inverse trig

b)

u-substitution

c)

integration by parts

d)

partial fractions

4.

What method would you use here?

a)

inverse trig

b)

u-substitution

c)

integration by parts

d)

partial fractions

5.

What method would you use here?

a)

antiderivatives

b)

u-substitution

c)

integration by parts

d)

slope fields

6.

What would you choose for your u here if you used integration by parts?

a)

x

b)

sinx

c)

cosx

d)

e^x

7.

What would you choose for your u here if you used integration by parts?

a)

x

b)

x⁴

c)

e^-x

d)

e^x

8.

$\int5x^4\left(x^5-7\right)^3dx$ can be solved by

a)

integration by parts

b)

u-substitution

c)

partial fractions

d)

natural log pattern

9.

What would you choose for your u here if you used integration by parts?

a)

ln x

b)

ln (x) sin (x)

c)

sin (x)

d)

x

10.

Which technique should be used to integrate this?

a)

partial fractions

b)

u-substitution

c)

integration by parts

d)

natural log pattern

11.

Which technique should be used to integrate this:

a)

natural log pattern

b)

u-substitution

c)

integration by parts

d)

partial fractions

12.

Find the partial fraction decomposition...

a)

b)

c)

d)

13.

What is the Integration by Parts Formula?

a)

b)

c)

d)

14.

$\int\ \frac{dx}{4+9x^{2\ }\ }$ can be solved by

a)

natural log pattern

b)

inverse trig integration

c)

partial fractions

d)

u-substitution

15.

$\int\ \frac{18xdx}{4+9x^{2\ }\ }$ can be solved by

a)

natural log pattern

b)

inverse trig integration

c)

partial fractions

d)

u-substitution

16.

$\int\ \frac{18dx}{4-9x^{2\ }\ }$ can be solved by

a)

natural log pattern

b)

inverse trig integration

c)

partial fractions

d)

u-substitution

17.

$\int\ \frac{x^2}{x^2-x+1}dx$ must be solved by first

a)

completing the square

b)

finding the partial fractions

c)

using u-substitution

d)

performing long division

18.

$\int\ \frac{3x-1}{x^2+1}dx$ can be solved by first

a)

using inverse trig

b)

separating the integral into two fractions

c)

completing the square in the denominator

d)

using the natural log pattern

19.

$\int\ \frac{2x}{\sqrt{16-x^2}}dx$ can be solved by

a)

inverse trig integration

b)

the natural log pattern

c)

completing the square

d)

u-substitution

20.

$\int\ \frac{2}{\sqrt{16-x^2}}dx$ can be solved by

a)

inverse trig integration

b)

the natural log pattern

c)

completing the square

d)

u-substitution

Techniques of Integration BC

Total questions: 20

Worksheet time: 21mins

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