4.04 Further anti-differentiation

Interactive practice questions

Find $\int\left(x-5\right)^4dx$∫(x−5)4dx, with $C$C as the constant of integration.

Easy

1min

Find $\int\frac{1}{\left(x+6\right)^3}dx$∫1(x+6)3dx, with $C$C as the constant of integration.

Easy

1min

Find $\int6\left(x+2\right)^2dx$∫6(x+2)2dx, with $C$C as the constant of integration.

Easy

1min

Find $\int\frac{4}{\left(x-5\right)^3}dx$∫4(x−5)3dx, with $C$C as the constant of integration.

Easy

1min

establish and use the formula ∫x^n dx=1/(n+1) x^(n+1)+c for n≠−1

establish and use the formula ∫e^x dx=e^x+c

establish and use the formulas, ∫sin⁡xdx=−cos⁡x+c and ∫ cosx dx =sinx +c

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