Question #180671

1b Integrate the following expressions.

∫(3𝑥3−4𝑥2+5𝑥−3)𝑑𝑥

∫(3𝑐𝑜𝑠2𝜃+5𝑐𝑜𝑠4𝜃)𝑑𝜃


1
Expert's answer
2021-04-29T18:10:55-0400

1) (3𝑥34𝑥2+5𝑥3)𝑑𝑥=3x3dx4x2dx+5xdx31 dx∫(3𝑥^3−4𝑥^2+5𝑥−3)𝑑𝑥=3\int x^3dx-4\int x^2dx+5 \int xdx-3\int 1 \ dx

34x443x3+52x23x+C\Rightarrow \dfrac{3}{4}x^4-\dfrac{4}{3}x^3 +\dfrac{5}{2}x^2-3x+C



2) (3cos2θ+5cos4θ)dθ=3cos2θdθ+5cos4θdθ\int(3cos2\theta+5cos4\theta)d\theta=3\int cos2\theta d\theta+5\int cos4\theta d\theta


32sin2θ+54sin4θ+C\Rightarrow \dfrac{3}{2}sin2\theta+\dfrac{5}{4}sin4\theta+C


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS