Evaluate:

$\displaystyle\int (4x^7 + 5x^3 + 7x + 5)dx$

$\frac{1}{2}x^8 + \frac{5}{4}x^4 + \frac{7}{2}x^2 +5x$

Correct Incorrect Correct answer

$\frac{1}{2}x^8 + \frac{5}{4}x^4 + \frac{7}{2}x^2 +5x + C$

Correct Incorrect Correct answer

$\frac{1}{2}x^8 + \frac{5}{4}x^4 + \frac{7}{2}x^2 + C$

Correct Incorrect Correct answer

$\frac{1}{2}x^8 + C$

Correct Incorrect Correct answer

Evaluate:

$\displaystyle\int \frac{\ln{⁡(x)}}{x}dx$

Evaluate:

$\displaystyle\int6x^2\cos⁡(x^3)dx$

Evaluate:

$\displaystyle\int(\tan⁡(x) + \sec^2⁡(x))dx$

Evaluate:

$\displaystyle\int\left(\dfrac{5x}{9 + (x^2)^2}\right)dx$

Evaluate:

$\displaystyle\int e^{x + 4}dx$

Evaluate:

$\displaystyle\int \left(\dfrac{−e^{−x}}{1 + e^{−x}}\right)dx$

Evaluate:

$\displaystyle\int_0^5 (3x^2 + 7x + 4) dx$

Evaluate:

$\displaystyle\int_0^7 3x^2 e^{x^3} dx$

Evaluate:

$\displaystyle\int_0^{2π} \tan(x) dx$

Evaluate:

$\displaystyle\int_{−1}^1 \dfrac{1}{1 + x^2} dx$

Evaluate:

$\displaystyle\int_{−5}^2 (e^x + 5) dx$

Evaluate:

$\displaystyle\int_1^{e^2} \left(\dfrac{1}{x} + 2 \right) dx$

Evaluate:

$\displaystyle\int_0^{\frac{π}{2}} \sin(2x + π)$

Evaluate:

$\displaystyle\int_2^5 (x^2 e^2) dx$