4.03 Antidifferentiation and trigonometric functions

Interactive practice questions

Find a primitive function for $7\sin x$7sinx.

You may use $C$C as a constant.

Easy

< 1min

Find a primitive function for $-7\cos x$−7cosx.

You may use $C$C as the constant of integration.

Easy

< 1min

Find the integral of $\sin7x$sin7x.

You may use $C$C as the constant of integration.

Easy

< 1min

Integrate $\cos6x$cos6x.

You may use $C$C as the constant of integration.

Easy

< 1min

establish and use the formulas ∫ sin(𝑥) 𝑑x = −cos(𝑥) + 𝑐𝑐 and ∫ cos(𝑥)𝑑x = sin(𝑥) + c

determine indefinite integrals of the form ∫ 𝑓(𝑎x+𝑏) 𝑑x

determine 𝑓(𝑥), given 𝑓′(𝑥) and an initial condition 𝑓(𝑎) = b