Free Printable Antiderivadas-Primitivas

1.

$\int\sec^2\left(x\right)dx$

a)

$\cot\left(x\right)\ +\ C$

b)

$-\tan\left(x\right)+C$

c)

$\tan\left(x\right)+C$

d)

$\sec\left(x\right)+C$

2.

$\int_{ }^{ }\sec\left(\theta\right)\tan\left(\theta\right)d\theta$

a)

$\tan\left(\theta\right)+C$

b)

$-\csc\left(\theta\right)+C$

c)

$\cot\left(\theta\right)+C$

d)

$\sec\left(\theta\right)+C$

3.

$\int_{ }^{ }a^x\ dx$

a)

$a^x\ \ln\left(a\right)\ +\ C$

b)

$\frac{a^x}{\ln\left(a\right)}\ +C$

c)

$a^x\ +C$

d)

$\frac{a^x}{\ln\left(a\right)}$

4.

$\int_{ }^{ }\tan\left(\alpha\right)d\alpha$

a)

$\ln\left|sen\left(\alpha\right)+C\right|$

b)

$\ln\left|\sec\left(\alpha\right)+\tan\left(\alpha\right)\right|+C$

c)

$\ln\left|\frac{1}{\cos\left(\alpha\right)}\right|+C$

d)

$\ln\left|\csc\left(\alpha\right)-\cot\left(\alpha\right)\right|+C$

5.

$\int_{ }\sec\left(\beta\right)d\beta$

a)

$\ln\left|sen\left(\beta\right)\right|+K$

b)

$\ln\left|\csc\left(\beta\right)-\cot\left(\beta\right)\right|+K$

c)

$\ln\left|\sec\left(\beta\right)-\tan\left(\beta\right)\right|+K$

d)

$\ln\left|\tan\left(\beta\right)+\sec\left(\beta\right)\right|+C$

6.

$\int_{ }^{ }\cot\left(y\right)dy$

a)

$\ln\left|sen\left(y\right)\right|+C$

b)

$\ln\left|\cos\left(y\right)\right|+C$

c)

$\ln\left|\sec\left(y\right)+\tan\left(y\right)\right|+C$

d)

$\ln\left|\sec\left(y\right)\right|+C$

7.

$\int_{ }^{ }\frac{d\theta}{\theta^2+a^2}$

a)

$\frac{arcsen\left(\frac{x}{a}\right)}{a}+C$

b)

$\frac{\arctan\left(\frac{\theta}{a}\right)}{a}+C$

c)

$\frac{\operatorname{arcsec}\left(\frac{\theta}{a}\right)}{a}+C$

d)

$\ln\left|\theta+a\right|+C$

8.

$\int_{ }^{ }\frac{dz}{\sqrt{a^2-z^2}}$

a)

$\arctan\left(\frac{z}{a}\right)+K$

b)

$\operatorname{arcsec}\left(\frac{z}{a}\right)+C$

c)

$arcsen\left(\frac{z}{a}\right)+C$

d)

$\ln\left|\sqrt{z-a}\right|+C$

9.

$\int\csc\left(x\right)\cot\left(x\right)dx$

a)

$\csc\left(x\right)+C$

b)

$-\csc\left(x\right)+C$

c)

$\cot\left(x\right)+C$

d)

$\csc^2\left(x\right)+C$

10.

$\int\alpha^md\alpha$

a)

$\frac{\alpha^{\left(m-1\right)}}{m-1}+C$

b)

$\alpha^{\left(m+1\right)}+C$

c)

$\frac{\alpha^{\left(m+1\right)}}{m+1}+C$

d)

$\frac{\alpha^m}{m+1}+C$

Antiderivadas-Primitivas

Total questions: 10

Worksheet time: 6mins

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