Indefinite integrals

That was easy

100

∫ (4x²+x+3)dx

4/3x³+x²/2+3x+C

200

∫ (2x-9sin(x))dx

x²+9cos(x)+C

300

∫ (t+e^t)dt

t²/2 + e^t + C

400

∫ (10/x)dx

10 Ln(x) + C

500

∫ 6(5^x)dx

(6(5^x))/Ln(5) + C

InTRIGration

100

∫ cos³(x)sin(x)dx

-1/4 cos⁴(x) + C

200

-Double Jeopardy-

∫ sec³(x)tan(x)dx

1/3sec³x + C

300

∫ 5sec(4x)tam(4x)dx

5/4sec(4x) + C

400

∫ sec²(1/4x)dx

4tan(1/4x) + C

500

∫ 25csc(5x)cot(5x)

-5csc(5x)+C

Oh that crazy S word!

100

∫ (x²/√(x³+3))dx

2/3 √(x³+3) + C

200

∫x(1-3x²)⁴ dx

-1/30 (1-3x²)⁴ + C

300

∫sin³(x)cos(x)dx

1/4 sin⁴(x)+C

400

-Double Jeopardy-

∫xe^{(-3x^2)}dx

1/6 e^{(-3x^2)} + C

500

∫24x(3x²+2)³dx

(3x²+2)⁴+C

Knowledge is power!

100

What do you find when you solve an indefinite integral?

an antiderivative or the original function f(x)

200

What is an antiderivative also called?

Indefinite integral

300

In ∫f(x)dx what is f(x) called? 

Integrand

400

What is this symbol ∫ called?

Integral symbol

500

What is the use of an integral?

Find the area under the curve.