Number and Algebra
Functions
Geometry and Trigonometry
Statistics and Probability
Calculus
Evaluate the integral ∫5e5xdx\int 5e^{5x} dx∫5e5xdx
Evaluate the integral ∫4x(3+x2)5dx\int 4x(3+x^2)^5 dx∫4x(3+x2)5dx
Evaluate the integral ∫sin(4x)dx\int \sin(4x) dx∫sin(4x)dx
Evaluate the integral ∫6xe3x2dx\int 6x e^{3x^2} dx∫6xe3x2dx
Evaluate the integral ∫xcos(x2)dx\int x\cos(x^2) dx∫xcos(x2)dx
Evaluate the integral ∫2x1+x2dx\int \frac{2x}{\sqrt{1+x^2}} dx∫1+x22xdx
Evaluate the integral ∫x2ex3dx\int x^2 e^{x^3} dx∫x2ex3dx
Evaluate the integral ∫x3x4+1dx\int x^3\sqrt{x^4+1} dx∫x3x4+1dx
Evaluate the integral ∫6x5(1+x6)2dx\int \frac{6x^5}{(1+x^6)^2} dx∫(1+x6)26x5dx
Evaluate the integral ∫3x2(x3+1)4dx\int \frac{3x^2}{(x^3+1)^4} dx∫(x3+1)43x2dx
Evaluate the integral ∫2x(1+3x2)3dx\int \frac{2x}{(1+3x^2)^3} dx∫(1+3x2)32xdx
Evaluate the integral ∫(4x−2)e2x2−2xdx\int (4x-2)e^{2x^2-2x} dx∫(4x−2)e2x2−2xdx
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Question Type 2: Applying integration through using the basis integrals alongside their composite transformations in linear functions
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Question Type 4: Evaluating integrals with an inside function and its derivative