Online Math Problem Solver with Steps

Examples: derivative of x^2 sin(3x) integral of 1/(1+x^2) from 0 to 1 factor x^3 - 8 x^2 - 5x + 6 x^2 - 5x + 6 < 0 1 2/3 + 5/6 mean of 2, 4, 4, 5, 7, 9 prime factorization of 360 det [[1,2],[3,4]] x + y = 3, x - y = 1 sin(30°) + sqrt(2)

What you can type

Type a problem the way you would say it, or as math. The box solves it right here and shows the steps. Click an example to try it.

Arithmetic

2 + 3*4 sqrt(16) 3 to the power of 4 sin(30°) 5! 15% of 80 (1+2i)(3-i) sqrt(-4) |3 + 4i|

Fractions, decimals and percents

1 2/3 + 5/6 0.75 as a fraction 3/8 as a percent 17/5 as a mixed number round 3.14159 to 2 decimal places increase 80 by 15%

Algebra

expand (x+2)^3 simplify (x^2-1)/(x-1) factor x^3 - 8 2x + 3 when x = 4 divide x^3 - 1 by x - 1 rationalize 1/(sqrt(3) - 1) partial fractions of 1/(x^2 - 1) simplify sin(x)^2 + cos(x)^2 simplify (1 - cos(2x))/sin(2x) simplify 2^x * 4^x simplify log(x^2) - log(x) prove sin(2x) = 2sin(x)cos(x) expand sin(a + b) gcd of x^2 - 1 and x^2 + 2x + 1 polar form of 1 + i

Equations and inequalities

2x + 3 = 7 x^2 - 5x + 6 = 0 |2x - 3| = 5 sqrt(x + 3) = x - 3 2^(x+1) = 8 log(x) + log(x - 3) = 1 sin(x) = 1/2 1 < 2x + 3 <= 7 x + y = 3, x - y = 1 2x + 3y = 6 for y sin(x) = cos(x) y = x^2, y = x + 2 |x - 3| + |x + 10| = 13 log(x)^2 - 3log(x) + 2 = 0 sin(x) + cos(x) = 1 sin(x) = 1/2 for 0 <= x <= 2pi sqrt(x + 2) > x 2^x > 8 sin(x) > 1/2 x^2 - (a+1)x + a = 0 for which a does x^2 + ax + 4 = 0 have one root z^3 = 1 x^2 + 2x + 5 = 0 over the complex numbers z^2 = i a + b = 10, a - b = 2 The sum of two numbers is 25 and their difference is 7 Twice a number minus 5 is 17 e^x = x + 2 cos(x) = x

Functions and graphs

y = 2x + 1 vertex of y = x^2 - 4x + 3 domain of 1/(x - 2) inverse of (2x+1)/(x-3) asymptotes of (x^2+1)/(x-1) graph y = sin(x) x^2 + y^2 - 4x + 6y - 3 = 0 extrema of x^3 - 3x intervals of increase of x e^(-x) inflection points of x^3 - 3x^2 is f(x) = x^3 - x even or odd period of sin(3x) max and min of x^3 - 3x on [0, 2] investigate the function y = (x^2 + 1)/(x - 1) f(g(x)) if f(x) = x^2 and g(x) = x + 1 x^2 + y^2 < 4 y > x, y < 4 - x^2

Calculus

derivative of x^2 sin(3x) second derivative of x^3 tangent line to y = x^2 at x = 1 limit of sin(x)/x as x -> 0 integral of 1/(1+x^2) from 0 to 1 area between y = x^2 and y = x volume of revolution of y = x^2 from 0 to 1 about the x-axis taylor series of sin(x) sum of 1/n^2 from 1 to infinity solve y'' - 3y' + 2y = 0 find dy/dx if x^2 + y^2 = 25 double integral of x*y dy dx from 0 to 2 and 0 to 1 gradient of x^2 y + y^3 at (1, 2) x = t^2, y = t^3, find dy/dx laplace transform of e^(2t) sin(3t) inverse laplace transform of 1/(s^2 + 1) integral of sqrt(1 - cos^2 x) from 0 to 2pi

Geometry

area of a circle with radius 5 hypotenuse of 3 and 4 distance between (1, 2) and (4, 6) volume of a cone with radius 3 and height 4 angle between vectors (1, 2) and (3, 4) line through (1, 2) perpendicular to y = 3x - 1 triangle with a = 5, b = 7, C = 60° solve the triangle a = 5, b = 7, c = 9 triangle a = 7, b = 10, A = 30° triangle a = 13, b = 14, c = 15, find r triangle m_a = 5, m_b = 6, m_c = 7, find S sum of the interior angles of a hexagon interior angle of a regular octagon intersection of y = 2x + 1 and y = -x + 4 equation of the circle with center (1, 2) and radius 3 area of the triangle with vertices (0, 0), (4, 0), (0, 3) plane through (1, 0, 0), (0, 1, 0), (0, 0, 1)

Numbers, sequences and counting

prime factorization of 360 gcd of 12 and 18 lcm of 4 and 6 next term of 2, 4, 8, 16 5 choose 2 MMXXIV sum of k^2 from 1 to 10 arithmetic sequence a1 = 3, d = 4, find a10 geometric sequence b1 = 2, q = 3, find the sum of the first 5 terms a3 = 7, a8 = 22, find a1 and d 1 + 1/2 + 1/4 + ... convert 25 to binary 1A3 hex to decimal number of divisors of 360 4500000 in scientific notation simplify the ratio 12:18 is 2147483647 prime 7^100 mod 13 3x ≡ 4 (mod 7) 1011 binary + 110 binary how many ways to arrange the letters of MISSISSIPPI probability of drawing 2 aces from a deck of 52 cards prove by induction 1 + 2 + ... + n = n(n+1)/2 prove by induction that 7^n - 1 is divisible by 6

Statistics, matrices and money

mean of 2, 4, 4, 5, 7, 9 det [[1,2],[3,4]] 1000 at 5% for 10 years probability of a sum of 7 with two dice probability of 3 heads in 5 coin tosses binomial n = 10, p = 0.3, P(X = 4) P(Z < 1.96) eigenvalues of [[4,1],[2,3]] correlation of (1, 2), (2, 4), (3, 5) linear regression (1, 2), (2, 4), (3, 5)

How to type math

• ^ is a power: x^2, 2^(x + 1). An exponent of more than one symbol goes in brackets.
• The multiplication sign can be left out: 2x, 3(x - 2), x sin(x).
• A fraction with more than one symbol above or below the line needs brackets: (x + 1)/(x - 2).
• sqrt(x) is the square root, sqrt3(x) or sqrt[3](x) the cube root, sqrt4(x) or sqrt[4](x) the fourth root (the nth root: sqrt[n](x)) and |x| the absolute value; pi is π and e is Euler's number.
• log(x) is the logarithm to base 10, ln(x) the natural logarithm and log_2(x) the logarithm to base 2.
• Angles in degrees: sin(30°) or sin(30 deg); sin(30) is shown both in degrees and in radians.
• Decimals are written with a point: 2.5; numbers in a list are separated by commas: 2, 4, 5.
• On a phone, the row of keys under the box types ^, √, π, |x|, ≤, ≥ and ∫.
• A misspelt word is put right, and the box says how it read it: derivitive of x^2 is read as derivative of x^2.

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