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Calculus 1: Indefinite Integrals

What is the indefinite integral of y=100x2y = 100x^2

6x9x2 dx\int \frac{6}{\sqrt{x-9x^2}}\ dx

Evaluate the following indefinite integral

3x6dx\displaystyle\int{3x^6} dx

Evaluate the indefinite integral

7x dx\displaystyle\int 7\sqrt{x}\ dx

Find the following indefinite integral

3x6+5+7x dx\displaystyle\int 3x^6 + 5 + 7\sqrt{x}\ dx

Evaluate the following integral

(3x+5x2) dx\displaystyle\int (3x + 5x^2) \ dx

Let f(x)=2xf^\prime(x) = 2x what is the antiderivative, f(x)f(x) ?

Evaluate the indefinite integral below

(x3+2x1) dx\displaystyle\int (x^3 + 2x - 1) \ dx

Evaluate the following indefinite integral

(x5x23) dx\displaystyle\int (\sqrt{x} - 5 \sqrt[3]{x^2}) \ dx

Evaluate the indefinite integral

(3x21x) dx\displaystyle\int (\frac{3}{x^2} - \frac{1}{x}) \ dx

Evaluate the indefinite integral

2x5x6+32 dx\int \frac{2x^5}{x^6 + 3}^2\ dx

Evaluate the indefinite integral

(x413x+25x43) dx\displaystyle\int (x^4 - \frac{1}{3\sqrt{x}} + \frac{2}{5}x^{-\frac{4}{3}}) \ dx