Free Printable Math 1740 Derivatives and Integrals Q1

1.

$\frac{d}{dx}\left(\sin x\right)$

a)

$\cos x$

b)

$-\cos x$

c)

$\sin x\cos x$

d)

none of these

2.

$\int\sin x\ dx$

a)

$\cos x\ +C$

b)

$-\cos x\ +C$

c)

$\sin x\cos x\ +C$

d)

none of these

3.

$\frac{d}{dx}\left(\sin^{-1}x\right)$

a)

$\cos^{-1}x$

b)

$-\cos^{-1}x$

c)

$-\frac{1}{\sqrt{1-x^2}}$

d)

$\frac{1}{\sqrt{1-x^2}}$

4.

$\frac{d}{dx}\left(\sinh x\right)$

a)

$\cosh x$

b)

$-\cosh x$

c)

$-\operatorname{csch}x$

d)

none of these

5.

$\int\operatorname{sech}^2x\ dx$

a)

$-\tanh x\ +C$

b)

$\tanh x\ +C$

c)

$\operatorname{sech}x\tanh x\ +C$

d)

$2\operatorname{sech}x\tanh x+C$

6.

$\int\frac{1}{\sqrt{16-x^2}}\ dx$

a)

$\arcsin\left(\frac{x}{4}\right)+C$

b)

$\frac{1}{4}\arcsin\left(\frac{x}{4}\right)+C$

c)

$2\sqrt{16-x^2}+C$

d)

none of these

7.

$\int\frac{1}{9+x^2}\ dx$

a)

$\arctan\left(\frac{x}{3}\right)+C$

b)

$\frac{1}{3}\arctan\left(\frac{x}{3}\right)+C$

c)

$\ln\left(9+x^2\right)+C$

d)

$\frac{1}{3}\ln\left(9+x^2\right)+C$

8.

$\int\frac{1}{x}\ dx$

a)

$\frac{1}{x^2}+C$

b)

$-\frac{1}{x^2}+C$

c)

$\ln x+C$

d)

$\ln\left|x\right|+C$

Math 1740 Derivatives and Integrals Q1

Total questions: 8

Worksheet time: 80secs

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